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Finding the Third Proportional to 591,488 and 1,282,624

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Solution

The third proportional to 591,488 and 1,282,624 is: 2,781,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,488 : 1,282,624 = 1,282,624 : x
  2. Step 2: Convert to fraction form
    591,488/1,282,624 = 1,282,624/x
  3. Step 3: Cross multiply
    591,488x = 1,282,624 × 1,282,624
  4. Step 4: Simplify right side
    591,488x = 1,645,124,325,376
  5. Step 5: Solve for x
    x = 1,645,124,325,376/591,488
  6. Step 6: Final answer
    x = 2,781,331.70

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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.