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Finding the Third Proportional to 591,498 and 1,282,635

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Solution

The third proportional to 591,498 and 1,282,635 is: 2,781,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,498 : 1,282,635 = 1,282,635 : x
  2. Step 2: Convert to fraction form
    591,498/1,282,635 = 1,282,635/x
  3. Step 3: Cross multiply
    591,498x = 1,282,635 × 1,282,635
  4. Step 4: Simplify right side
    591,498x = 1,645,152,543,225
  5. Step 5: Solve for x
    x = 1,645,152,543,225/591,498
  6. Step 6: Final answer
    x = 2,781,332.39

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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.