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Finding the Third Proportional to 634,160 and 869,592

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Solution

The third proportional to 634,160 and 869,592 is: 1,192,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,160 : 869,592 = 869,592 : x
  2. Step 2: Convert to fraction form
    634,160/869,592 = 869,592/x
  3. Step 3: Cross multiply
    634,160x = 869,592 × 869,592
  4. Step 4: Simplify right side
    634,160x = 756,190,246,464
  5. Step 5: Solve for x
    x = 756,190,246,464/634,160
  6. Step 6: Final answer
    x = 1,192,428.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.