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Finding the Third Proportional to 634,154 and 869,583

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Solution

The third proportional to 634,154 and 869,583 is: 1,192,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,154 : 869,583 = 869,583 : x
  2. Step 2: Convert to fraction form
    634,154/869,583 = 869,583/x
  3. Step 3: Cross multiply
    634,154x = 869,583 × 869,583
  4. Step 4: Simplify right side
    634,154x = 756,174,593,889
  5. Step 5: Solve for x
    x = 756,174,593,889/634,154
  6. Step 6: Final answer
    x = 1,192,414.77

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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.