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Finding the Third Proportional to 762,404 and 1,657,608

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Solution

The third proportional to 762,404 and 1,657,608 is: 3,603,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,404 : 1,657,608 = 1,657,608 : x
  2. Step 2: Convert to fraction form
    762,404/1,657,608 = 1,657,608/x
  3. Step 3: Cross multiply
    762,404x = 1,657,608 × 1,657,608
  4. Step 4: Simplify right side
    762,404x = 2,747,664,281,664
  5. Step 5: Solve for x
    x = 2,747,664,281,664/762,404
  6. Step 6: Final answer
    x = 3,603,947.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.