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Finding the Third Proportional to 747,693 and 1,121,265

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Solution

The third proportional to 747,693 and 1,121,265 is: 1,681,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,693 : 1,121,265 = 1,121,265 : x
  2. Step 2: Convert to fraction form
    747,693/1,121,265 = 1,121,265/x
  3. Step 3: Cross multiply
    747,693x = 1,121,265 × 1,121,265
  4. Step 4: Simplify right side
    747,693x = 1,257,235,200,225
  5. Step 5: Solve for x
    x = 1,257,235,200,225/747,693
  6. Step 6: Final answer
    x = 1,681,485.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.