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Finding the Third Proportional to 1,485,793.13 and 3,256,397.44

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Solution

The third proportional to 1,485,793.13 and 3,256,397.44 is: 7,137,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485,793.13 : 3,256,397.44 = 3,256,397.44 : x
  2. Step 2: Convert to fraction form
    1,485,793.13/3,256,397.44 = 3,256,397.44/x
  3. Step 3: Cross multiply
    1,485,793.13x = 3,256,397.44 × 3,256,397.44
  4. Step 4: Simplify right side
    1,485,793.13x = 10,604,124,270,956.57
  5. Step 5: Solve for x
    x = 10,604,124,270,956.57/1,485,793.13
  6. Step 6: Final answer
    x = 7,137,012.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.