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Finding the Third Proportional to 836,728 and 1,717,952

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Solution

The third proportional to 836,728 and 1,717,952 is: 3,527,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,728 : 1,717,952 = 1,717,952 : x
  2. Step 2: Convert to fraction form
    836,728/1,717,952 = 1,717,952/x
  3. Step 3: Cross multiply
    836,728x = 1,717,952 × 1,717,952
  4. Step 4: Simplify right side
    836,728x = 2,951,359,074,304
  5. Step 5: Solve for x
    x = 2,951,359,074,304/836,728
  6. Step 6: Final answer
    x = 3,527,262.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.