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Finding the Third Proportional to 400,154 and 866,740

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Solution

The third proportional to 400,154 and 866,740 is: 1,877,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,154 : 866,740 = 866,740 : x
  2. Step 2: Convert to fraction form
    400,154/866,740 = 866,740/x
  3. Step 3: Cross multiply
    400,154x = 866,740 × 866,740
  4. Step 4: Simplify right side
    400,154x = 751,238,227,600
  5. Step 5: Solve for x
    x = 751,238,227,600/400,154
  6. Step 6: Final answer
    x = 1,877,372.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.