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Finding the Third Proportional to 585,847 and 913,022

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Solution

The third proportional to 585,847 and 913,022 is: 1,422,912.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,847 : 913,022 = 913,022 : x
  2. Step 2: Convert to fraction form
    585,847/913,022 = 913,022/x
  3. Step 3: Cross multiply
    585,847x = 913,022 × 913,022
  4. Step 4: Simplify right side
    585,847x = 833,609,172,484
  5. Step 5: Solve for x
    x = 833,609,172,484/585,847
  6. Step 6: Final answer
    x = 1,422,912.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.