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Finding the Third Proportional to 791,568 and 1,226,448

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Solution

The third proportional to 791,568 and 1,226,448 is: 1,900,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,568 : 1,226,448 = 1,226,448 : x
  2. Step 2: Convert to fraction form
    791,568/1,226,448 = 1,226,448/x
  3. Step 3: Cross multiply
    791,568x = 1,226,448 × 1,226,448
  4. Step 4: Simplify right side
    791,568x = 1,504,174,696,704
  5. Step 5: Solve for x
    x = 1,504,174,696,704/791,568
  6. Step 6: Final answer
    x = 1,900,246.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.