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Finding the Third Proportional to 520,418.67 and 1,109,545.59

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Solution

The third proportional to 520,418.67 and 1,109,545.59 is: 2,365,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,418.67 : 1,109,545.59 = 1,109,545.59 : x
  2. Step 2: Convert to fraction form
    520,418.67/1,109,545.59 = 1,109,545.59/x
  3. Step 3: Cross multiply
    520,418.67x = 1,109,545.59 × 1,109,545.59
  4. Step 4: Simplify right side
    520,418.67x = 1,231,091,424,610.04
  5. Step 5: Solve for x
    x = 1,231,091,424,610.04/520,418.67
  6. Step 6: Final answer
    x = 2,365,578.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.