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Finding the Third Proportional to 749,684 and 1,632,478

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Solution

The third proportional to 749,684 and 1,632,478 is: 3,554,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,684 : 1,632,478 = 1,632,478 : x
  2. Step 2: Convert to fraction form
    749,684/1,632,478 = 1,632,478/x
  3. Step 3: Cross multiply
    749,684x = 1,632,478 × 1,632,478
  4. Step 4: Simplify right side
    749,684x = 2,664,984,420,484
  5. Step 5: Solve for x
    x = 2,664,984,420,484/749,684
  6. Step 6: Final answer
    x = 3,554,810.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.