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Finding the Third Proportional to 1,744,724 and 2,625,822

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Solution

The third proportional to 1,744,724 and 2,625,822 is: 3,951,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,724 : 2,625,822 = 2,625,822 : x
  2. Step 2: Convert to fraction form
    1,744,724/2,625,822 = 2,625,822/x
  3. Step 3: Cross multiply
    1,744,724x = 2,625,822 × 2,625,822
  4. Step 4: Simplify right side
    1,744,724x = 6,894,941,175,684
  5. Step 5: Solve for x
    x = 6,894,941,175,684/1,744,724
  6. Step 6: Final answer
    x = 3,951,880.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.