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Finding the Third Proportional to 675,829 and 1,571,472

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Solution

The third proportional to 675,829 and 1,571,472 is: 3,654,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,829 : 1,571,472 = 1,571,472 : x
  2. Step 2: Convert to fraction form
    675,829/1,571,472 = 1,571,472/x
  3. Step 3: Cross multiply
    675,829x = 1,571,472 × 1,571,472
  4. Step 4: Simplify right side
    675,829x = 2,469,524,246,784
  5. Step 5: Solve for x
    x = 2,469,524,246,784/675,829
  6. Step 6: Final answer
    x = 3,654,066.70

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.