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Finding the Third Proportional to 762,489 and 1,650,503.25

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Solution

The third proportional to 762,489 and 1,650,503.25 is: 3,572,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,489 : 1,650,503.25 = 1,650,503.25 : x
  2. Step 2: Convert to fraction form
    762,489/1,650,503.25 = 1,650,503.25/x
  3. Step 3: Cross multiply
    762,489x = 1,650,503.25 × 1,650,503.25
  4. Step 4: Simplify right side
    762,489x = 2,724,160,978,260.56
  5. Step 5: Solve for x
    x = 2,724,160,978,260.56/762,489
  6. Step 6: Final answer
    x = 3,572,721.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.