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Finding the Third Proportional to 577,872 and 1,241,766

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Solution

The third proportional to 577,872 and 1,241,766 is: 2,668,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,872 : 1,241,766 = 1,241,766 : x
  2. Step 2: Convert to fraction form
    577,872/1,241,766 = 1,241,766/x
  3. Step 3: Cross multiply
    577,872x = 1,241,766 × 1,241,766
  4. Step 4: Simplify right side
    577,872x = 1,541,982,798,756
  5. Step 5: Solve for x
    x = 1,541,982,798,756/577,872
  6. Step 6: Final answer
    x = 2,668,381.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.