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Finding the Third Proportional to 466,453.69 and 979,912.69

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Solution

The third proportional to 466,453.69 and 979,912.69 is: 2,058,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,453.69 : 979,912.69 = 979,912.69 : x
  2. Step 2: Convert to fraction form
    466,453.69/979,912.69 = 979,912.69/x
  3. Step 3: Cross multiply
    466,453.69x = 979,912.69 × 979,912.69
  4. Step 4: Simplify right side
    466,453.69x = 960,228,875,123.47
  5. Step 5: Solve for x
    x = 960,228,875,123.47/466,453.69
  6. Step 6: Final answer
    x = 2,058,572.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.