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Finding the Third Proportional to 749,584 and 1,151,448

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Solution

The third proportional to 749,584 and 1,151,448 is: 1,768,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,584 : 1,151,448 = 1,151,448 : x
  2. Step 2: Convert to fraction form
    749,584/1,151,448 = 1,151,448/x
  3. Step 3: Cross multiply
    749,584x = 1,151,448 × 1,151,448
  4. Step 4: Simplify right side
    749,584x = 1,325,832,496,704
  5. Step 5: Solve for x
    x = 1,325,832,496,704/749,584
  6. Step 6: Final answer
    x = 1,768,757.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.