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Finding the Third Proportional to 749,727 and 1,632,564

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Solution

The third proportional to 749,727 and 1,632,564 is: 3,554,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,727 : 1,632,564 = 1,632,564 : x
  2. Step 2: Convert to fraction form
    749,727/1,632,564 = 1,632,564/x
  3. Step 3: Cross multiply
    749,727x = 1,632,564 × 1,632,564
  4. Step 4: Simplify right side
    749,727x = 2,665,265,214,096
  5. Step 5: Solve for x
    x = 2,665,265,214,096/749,727
  6. Step 6: Final answer
    x = 3,554,980.97

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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.