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Finding the Third Proportional to 577,827 and 1,247,022

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Solution

The third proportional to 577,827 and 1,247,022 is: 2,691,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,827 : 1,247,022 = 1,247,022 : x
  2. Step 2: Convert to fraction form
    577,827/1,247,022 = 1,247,022/x
  3. Step 3: Cross multiply
    577,827x = 1,247,022 × 1,247,022
  4. Step 4: Simplify right side
    577,827x = 1,555,063,868,484
  5. Step 5: Solve for x
    x = 1,555,063,868,484/577,827
  6. Step 6: Final answer
    x = 2,691,227.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.