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Finding the Third Proportional to 597,082 and 878,006

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Solution

The third proportional to 597,082 and 878,006 is: 1,291,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,082 : 878,006 = 878,006 : x
  2. Step 2: Convert to fraction form
    597,082/878,006 = 878,006/x
  3. Step 3: Cross multiply
    597,082x = 878,006 × 878,006
  4. Step 4: Simplify right side
    597,082x = 770,894,536,036
  5. Step 5: Solve for x
    x = 770,894,536,036/597,082
  6. Step 6: Final answer
    x = 1,291,103.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.