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Finding the Third Proportional to 878,083 and 1,324,049

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Solution

The third proportional to 878,083 and 1,324,049 is: 1,996,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,083 : 1,324,049 = 1,324,049 : x
  2. Step 2: Convert to fraction form
    878,083/1,324,049 = 1,324,049/x
  3. Step 3: Cross multiply
    878,083x = 1,324,049 × 1,324,049
  4. Step 4: Simplify right side
    878,083x = 1,753,105,754,401
  5. Step 5: Solve for x
    x = 1,753,105,754,401/878,083
  6. Step 6: Final answer
    x = 1,996,514.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.