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Finding the Third Proportional to 469,727.25 and 1,029,229.13

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Solution

The third proportional to 469,727.25 and 1,029,229.13 is: 2,255,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,727.25 : 1,029,229.13 = 1,029,229.13 : x
  2. Step 2: Convert to fraction form
    469,727.25/1,029,229.13 = 1,029,229.13/x
  3. Step 3: Cross multiply
    469,727.25x = 1,029,229.13 × 1,029,229.13
  4. Step 4: Simplify right side
    469,727.25x = 1,059,312,591,748.27
  5. Step 5: Solve for x
    x = 1,059,312,591,748.27/469,727.25
  6. Step 6: Final answer
    x = 2,255,165.29

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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.