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Finding the Third Proportional to 747,650 and 1,614,820

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Solution

The third proportional to 747,650 and 1,614,820 is: 3,487,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,650 : 1,614,820 = 1,614,820 : x
  2. Step 2: Convert to fraction form
    747,650/1,614,820 = 1,614,820/x
  3. Step 3: Cross multiply
    747,650x = 1,614,820 × 1,614,820
  4. Step 4: Simplify right side
    747,650x = 2,607,643,632,400
  5. Step 5: Solve for x
    x = 2,607,643,632,400/747,650
  6. Step 6: Final answer
    x = 3,487,786.57

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