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Finding the Third Proportional to 696,613.50 and 1,422,744

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Solution

The third proportional to 696,613.50 and 1,422,744 is: 2,905,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,613.50 : 1,422,744 = 1,422,744 : x
  2. Step 2: Convert to fraction form
    696,613.50/1,422,744 = 1,422,744/x
  3. Step 3: Cross multiply
    696,613.50x = 1,422,744 × 1,422,744
  4. Step 4: Simplify right side
    696,613.50x = 2,024,200,489,536
  5. Step 5: Solve for x
    x = 2,024,200,489,536/696,613.50
  6. Step 6: Final answer
    x = 2,905,772.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.