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Finding the Third Proportional to 574,707 and 1,231,914

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Solution

The third proportional to 574,707 and 1,231,914 is: 2,640,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,707 : 1,231,914 = 1,231,914 : x
  2. Step 2: Convert to fraction form
    574,707/1,231,914 = 1,231,914/x
  3. Step 3: Cross multiply
    574,707x = 1,231,914 × 1,231,914
  4. Step 4: Simplify right side
    574,707x = 1,517,612,103,396
  5. Step 5: Solve for x
    x = 1,517,612,103,396/574,707
  6. Step 6: Final answer
    x = 2,640,670.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.