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Finding the Third Proportional to 731,676 and 1,092,006

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Solution

The third proportional to 731,676 and 1,092,006 is: 1,629,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,676 : 1,092,006 = 1,092,006 : x
  2. Step 2: Convert to fraction form
    731,676/1,092,006 = 1,092,006/x
  3. Step 3: Cross multiply
    731,676x = 1,092,006 × 1,092,006
  4. Step 4: Simplify right side
    731,676x = 1,192,477,104,036
  5. Step 5: Solve for x
    x = 1,192,477,104,036/731,676
  6. Step 6: Final answer
    x = 1,629,788.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.