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Finding the Third Proportional to 572,761.13 and 1,131,058.69

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Solution

The third proportional to 572,761.13 and 1,131,058.69 is: 2,233,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,761.13 : 1,131,058.69 = 1,131,058.69 : x
  2. Step 2: Convert to fraction form
    572,761.13/1,131,058.69 = 1,131,058.69/x
  3. Step 3: Cross multiply
    572,761.13x = 1,131,058.69 × 1,131,058.69
  4. Step 4: Simplify right side
    572,761.13x = 1,279,293,754,569.22
  5. Step 5: Solve for x
    x = 1,279,293,754,569.22/572,761.13
  6. Step 6: Final answer
    x = 2,233,555.49

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.