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Finding the Third Proportional to 591,494 and 1,282,636

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Solution

The third proportional to 591,494 and 1,282,636 is: 2,781,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,494 : 1,282,636 = 1,282,636 : x
  2. Step 2: Convert to fraction form
    591,494/1,282,636 = 1,282,636/x
  3. Step 3: Cross multiply
    591,494x = 1,282,636 × 1,282,636
  4. Step 4: Simplify right side
    591,494x = 1,645,155,108,496
  5. Step 5: Solve for x
    x = 1,645,155,108,496/591,494
  6. Step 6: Final answer
    x = 2,781,355.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.