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Finding the Third Proportional to 410,136 and 878,592

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Solution

The third proportional to 410,136 and 878,592 is: 1,882,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,136 : 878,592 = 878,592 : x
  2. Step 2: Convert to fraction form
    410,136/878,592 = 878,592/x
  3. Step 3: Cross multiply
    410,136x = 878,592 × 878,592
  4. Step 4: Simplify right side
    410,136x = 771,923,902,464
  5. Step 5: Solve for x
    x = 771,923,902,464/410,136
  6. Step 6: Final answer
    x = 1,882,116.91

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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.