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Finding the Third Proportional to 916,092 and 1,204,657

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Solution

The third proportional to 916,092 and 1,204,657 is: 1,584,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,092 : 1,204,657 = 1,204,657 : x
  2. Step 2: Convert to fraction form
    916,092/1,204,657 = 1,204,657/x
  3. Step 3: Cross multiply
    916,092x = 1,204,657 × 1,204,657
  4. Step 4: Simplify right side
    916,092x = 1,451,198,487,649
  5. Step 5: Solve for x
    x = 1,451,198,487,649/916,092
  6. Step 6: Final answer
    x = 1,584,118.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.