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Finding the Third Proportional to 407,092 and 881,948

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Solution

The third proportional to 407,092 and 881,948 is: 1,910,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,092 : 881,948 = 881,948 : x
  2. Step 2: Convert to fraction form
    407,092/881,948 = 881,948/x
  3. Step 3: Cross multiply
    407,092x = 881,948 × 881,948
  4. Step 4: Simplify right side
    407,092x = 777,832,274,704
  5. Step 5: Solve for x
    x = 777,832,274,704/407,092
  6. Step 6: Final answer
    x = 1,910,703.91

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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.