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Finding the Third Proportional to 574,005 and 1,252,919

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Solution

The third proportional to 574,005 and 1,252,919 is: 2,734,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,005 : 1,252,919 = 1,252,919 : x
  2. Step 2: Convert to fraction form
    574,005/1,252,919 = 1,252,919/x
  3. Step 3: Cross multiply
    574,005x = 1,252,919 × 1,252,919
  4. Step 4: Simplify right side
    574,005x = 1,569,806,020,561
  5. Step 5: Solve for x
    x = 1,569,806,020,561/574,005
  6. Step 6: Final answer
    x = 2,734,829.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.