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Finding the Third Proportional to 1,029,218.91 and 2,174,305.78

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Solution

The third proportional to 1,029,218.91 and 2,174,305.78 is: 4,593,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,218.91 : 2,174,305.78 = 2,174,305.78 : x
  2. Step 2: Convert to fraction form
    1,029,218.91/2,174,305.78 = 2,174,305.78/x
  3. Step 3: Cross multiply
    1,029,218.91x = 2,174,305.78 × 2,174,305.78
  4. Step 4: Simplify right side
    1,029,218.91x = 4,727,605,630,377.17
  5. Step 5: Solve for x
    x = 4,727,605,630,377.17/1,029,218.91
  6. Step 6: Final answer
    x = 4,593,391.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.