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Finding the Third Proportional to 564,078.94 and 1,206,874.69

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Solution

The third proportional to 564,078.94 and 1,206,874.69 is: 2,582,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,078.94 : 1,206,874.69 = 1,206,874.69 : x
  2. Step 2: Convert to fraction form
    564,078.94/1,206,874.69 = 1,206,874.69/x
  3. Step 3: Cross multiply
    564,078.94x = 1,206,874.69 × 1,206,874.69
  4. Step 4: Simplify right side
    564,078.94x = 1,456,546,511,328.22
  5. Step 5: Solve for x
    x = 1,456,546,511,328.22/564,078.94
  6. Step 6: Final answer
    x = 2,582,167.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.