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Finding the Third Proportional to 1,274,542.59 and 2,773,201.43

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Solution

The third proportional to 1,274,542.59 and 2,773,201.43 is: 6,034,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,542.59 : 2,773,201.43 = 2,773,201.43 : x
  2. Step 2: Convert to fraction form
    1,274,542.59/2,773,201.43 = 2,773,201.43/x
  3. Step 3: Cross multiply
    1,274,542.59x = 2,773,201.43 × 2,773,201.43
  4. Step 4: Simplify right side
    1,274,542.59x = 7,690,646,169,620.79
  5. Step 5: Solve for x
    x = 7,690,646,169,620.79/1,274,542.59
  6. Step 6: Final answer
    x = 6,034,044.06

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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.