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Finding the Third Proportional to 1,004,451.47 and 1,515,734.02

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Solution

The third proportional to 1,004,451.47 and 1,515,734.02 is: 2,287,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,451.47 : 1,515,734.02 = 1,515,734.02 : x
  2. Step 2: Convert to fraction form
    1,004,451.47/1,515,734.02 = 1,515,734.02/x
  3. Step 3: Cross multiply
    1,004,451.47x = 1,515,734.02 × 1,515,734.02
  4. Step 4: Simplify right side
    1,004,451.47x = 2,297,449,606,122.69
  5. Step 5: Solve for x
    x = 2,297,449,606,122.69/1,004,451.47
  6. Step 6: Final answer
    x = 2,287,267.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.