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Finding the Third Proportional to 706,245,358.50 and 1,162,906,723.13

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Solution

The third proportional to 706,245,358.50 and 1,162,906,723.13 is: 1,914,847,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,245,358.50 : 1,162,906,723.13 = 1,162,906,723.13 : x
  2. Step 2: Convert to fraction form
    706,245,358.50/1,162,906,723.13 = 1,162,906,723.13/x
  3. Step 3: Cross multiply
    706,245,358.50x = 1,162,906,723.13 × 1,162,906,723.13
  4. Step 4: Simplify right side
    706,245,358.50x = 1,352,352,046,689,325,312
  5. Step 5: Solve for x
    x = 1,352,352,046,689,325,312/706,245,358.50
  6. Step 6: Final answer
    x = 1,914,847,340.82

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.