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Finding the Third Proportional to 815,860.69 and 1,767,314.53

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Solution

The third proportional to 815,860.69 and 1,767,314.53 is: 3,828,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,860.69 : 1,767,314.53 = 1,767,314.53 : x
  2. Step 2: Convert to fraction form
    815,860.69/1,767,314.53 = 1,767,314.53/x
  3. Step 3: Cross multiply
    815,860.69x = 1,767,314.53 × 1,767,314.53
  4. Step 4: Simplify right side
    815,860.69x = 3,123,400,652,367.41
  5. Step 5: Solve for x
    x = 3,123,400,652,367.41/815,860.69
  6. Step 6: Final answer
    x = 3,828,350.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.