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Finding the Third Proportional to 647,947.69 and 1,413,811.13

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Solution

The third proportional to 647,947.69 and 1,413,811.13 is: 3,084,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,947.69 : 1,413,811.13 = 1,413,811.13 : x
  2. Step 2: Convert to fraction form
    647,947.69/1,413,811.13 = 1,413,811.13/x
  3. Step 3: Cross multiply
    647,947.69x = 1,413,811.13 × 1,413,811.13
  4. Step 4: Simplify right side
    647,947.69x = 1,998,861,897,173.77
  5. Step 5: Solve for x
    x = 1,998,861,897,173.77/647,947.69
  6. Step 6: Final answer
    x = 3,084,912.46

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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.