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Finding the Third Proportional to 817,870 and 1,241,521

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Solution

The third proportional to 817,870 and 1,241,521 is: 1,884,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,870 : 1,241,521 = 1,241,521 : x
  2. Step 2: Convert to fraction form
    817,870/1,241,521 = 1,241,521/x
  3. Step 3: Cross multiply
    817,870x = 1,241,521 × 1,241,521
  4. Step 4: Simplify right side
    817,870x = 1,541,374,393,441
  5. Step 5: Solve for x
    x = 1,541,374,393,441/817,870
  6. Step 6: Final answer
    x = 1,884,620.29

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