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Finding the Third Proportional to 725,569 and 1,537,571

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Solution

The third proportional to 725,569 and 1,537,571 is: 3,258,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,569 : 1,537,571 = 1,537,571 : x
  2. Step 2: Convert to fraction form
    725,569/1,537,571 = 1,537,571/x
  3. Step 3: Cross multiply
    725,569x = 1,537,571 × 1,537,571
  4. Step 4: Simplify right side
    725,569x = 2,364,124,580,041
  5. Step 5: Solve for x
    x = 2,364,124,580,041/725,569
  6. Step 6: Final answer
    x = 3,258,304.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.