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Finding the Third Proportional to 717,527 and 1,509,412

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Solution

The third proportional to 717,527 and 1,509,412 is: 3,175,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,527 : 1,509,412 = 1,509,412 : x
  2. Step 2: Convert to fraction form
    717,527/1,509,412 = 1,509,412/x
  3. Step 3: Cross multiply
    717,527x = 1,509,412 × 1,509,412
  4. Step 4: Simplify right side
    717,527x = 2,278,324,585,744
  5. Step 5: Solve for x
    x = 2,278,324,585,744/717,527
  6. Step 6: Final answer
    x = 3,175,245.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.