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Finding the Third Proportional to 891,029 and 1,181,517

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Solution

The third proportional to 891,029 and 1,181,517 is: 1,566,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,029 : 1,181,517 = 1,181,517 : x
  2. Step 2: Convert to fraction form
    891,029/1,181,517 = 1,181,517/x
  3. Step 3: Cross multiply
    891,029x = 1,181,517 × 1,181,517
  4. Step 4: Simplify right side
    891,029x = 1,395,982,421,289
  5. Step 5: Solve for x
    x = 1,395,982,421,289/891,029
  6. Step 6: Final answer
    x = 1,566,708.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.