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Finding the Third Proportional to 757,431 and 1,659,730.50

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Solution

The third proportional to 757,431 and 1,659,730.50 is: 3,636,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,431 : 1,659,730.50 = 1,659,730.50 : x
  2. Step 2: Convert to fraction form
    757,431/1,659,730.50 = 1,659,730.50/x
  3. Step 3: Cross multiply
    757,431x = 1,659,730.50 × 1,659,730.50
  4. Step 4: Simplify right side
    757,431x = 2,754,705,332,630.25
  5. Step 5: Solve for x
    x = 2,754,705,332,630.25/757,431
  6. Step 6: Final answer
    x = 3,636,905.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.