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Finding the Third Proportional to 404,734 and 880,866

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Solution

The third proportional to 404,734 and 880,866 is: 1,917,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,734 : 880,866 = 880,866 : x
  2. Step 2: Convert to fraction form
    404,734/880,866 = 880,866/x
  3. Step 3: Cross multiply
    404,734x = 880,866 × 880,866
  4. Step 4: Simplify right side
    404,734x = 775,924,909,956
  5. Step 5: Solve for x
    x = 775,924,909,956/404,734
  6. Step 6: Final answer
    x = 1,917,123.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.