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Finding the Third Proportional to 410,134 and 878,588

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Solution

The third proportional to 410,134 and 878,588 is: 1,882,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,134 : 878,588 = 878,588 : x
  2. Step 2: Convert to fraction form
    410,134/878,588 = 878,588/x
  3. Step 3: Cross multiply
    410,134x = 878,588 × 878,588
  4. Step 4: Simplify right side
    410,134x = 771,916,873,744
  5. Step 5: Solve for x
    x = 771,916,873,744/410,134
  6. Step 6: Final answer
    x = 1,882,108.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.