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Finding the Third Proportional to 591,016 and 1,306,448

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Solution

The third proportional to 591,016 and 1,306,448 is: 2,887,919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,016 : 1,306,448 = 1,306,448 : x
  2. Step 2: Convert to fraction form
    591,016/1,306,448 = 1,306,448/x
  3. Step 3: Cross multiply
    591,016x = 1,306,448 × 1,306,448
  4. Step 4: Simplify right side
    591,016x = 1,706,806,376,704
  5. Step 5: Solve for x
    x = 1,706,806,376,704/591,016
  6. Step 6: Final answer
    x = 2,887,919.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.