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Finding the Third Proportional to 865,452.09 and 2,246,671.69

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Solution

The third proportional to 865,452.09 and 2,246,671.69 is: 5,832,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,452.09 : 2,246,671.69 = 2,246,671.69 : x
  2. Step 2: Convert to fraction form
    865,452.09/2,246,671.69 = 2,246,671.69/x
  3. Step 3: Cross multiply
    865,452.09x = 2,246,671.69 × 2,246,671.69
  4. Step 4: Simplify right side
    865,452.09x = 5,047,533,671,414.10
  5. Step 5: Solve for x
    x = 5,047,533,671,414.10/865,452.09
  6. Step 6: Final answer
    x = 5,832,250.81

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.