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Finding the Third Proportional to 817,882 and 1,241,538

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Solution

The third proportional to 817,882 and 1,241,538 is: 1,884,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,882 : 1,241,538 = 1,241,538 : x
  2. Step 2: Convert to fraction form
    817,882/1,241,538 = 1,241,538/x
  3. Step 3: Cross multiply
    817,882x = 1,241,538 × 1,241,538
  4. Step 4: Simplify right side
    817,882x = 1,541,416,605,444
  5. Step 5: Solve for x
    x = 1,541,416,605,444/817,882
  6. Step 6: Final answer
    x = 1,884,644.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.