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Finding the Third Proportional to 800,517.75 and 1,748,779.13

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Solution

The third proportional to 800,517.75 and 1,748,779.13 is: 3,820,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,517.75 : 1,748,779.13 = 1,748,779.13 : x
  2. Step 2: Convert to fraction form
    800,517.75/1,748,779.13 = 1,748,779.13/x
  3. Step 3: Cross multiply
    800,517.75x = 1,748,779.13 × 1,748,779.13
  4. Step 4: Simplify right side
    800,517.75x = 3,058,228,428,035.77
  5. Step 5: Solve for x
    x = 3,058,228,428,035.77/800,517.75
  6. Step 6: Final answer
    x = 3,820,313.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.