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Finding the Third Proportional to 497,443.78 and 1,074,306.80

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Solution

The third proportional to 497,443.78 and 1,074,306.80 is: 2,320,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,443.78 : 1,074,306.80 = 1,074,306.80 : x
  2. Step 2: Convert to fraction form
    497,443.78/1,074,306.80 = 1,074,306.80/x
  3. Step 3: Cross multiply
    497,443.78x = 1,074,306.80 × 1,074,306.80
  4. Step 4: Simplify right side
    497,443.78x = 1,154,135,093,811.82
  5. Step 5: Solve for x
    x = 1,154,135,093,811.82/497,443.78
  6. Step 6: Final answer
    x = 2,320,131.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.