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Finding the Third Proportional to 857,498 and 1,828,908

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Solution

The third proportional to 857,498 and 1,828,908 is: 3,900,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,498 : 1,828,908 = 1,828,908 : x
  2. Step 2: Convert to fraction form
    857,498/1,828,908 = 1,828,908/x
  3. Step 3: Cross multiply
    857,498x = 1,828,908 × 1,828,908
  4. Step 4: Simplify right side
    857,498x = 3,344,904,472,464
  5. Step 5: Solve for x
    x = 3,344,904,472,464/857,498
  6. Step 6: Final answer
    x = 3,900,772.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.