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Finding the Third Proportional to 588,694 and 1,310,624

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Solution

The third proportional to 588,694 and 1,310,624 is: 2,917,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,694 : 1,310,624 = 1,310,624 : x
  2. Step 2: Convert to fraction form
    588,694/1,310,624 = 1,310,624/x
  3. Step 3: Cross multiply
    588,694x = 1,310,624 × 1,310,624
  4. Step 4: Simplify right side
    588,694x = 1,717,735,269,376
  5. Step 5: Solve for x
    x = 1,717,735,269,376/588,694
  6. Step 6: Final answer
    x = 2,917,874.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.