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Finding the Third Proportional to 1,010,535.75 and 2,191,042.13

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Solution

The third proportional to 1,010,535.75 and 2,191,042.13 is: 4,750,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,535.75 : 2,191,042.13 = 2,191,042.13 : x
  2. Step 2: Convert to fraction form
    1,010,535.75/2,191,042.13 = 2,191,042.13/x
  3. Step 3: Cross multiply
    1,010,535.75x = 2,191,042.13 × 2,191,042.13
  4. Step 4: Simplify right side
    1,010,535.75x = 4,800,665,593,524.52
  5. Step 5: Solve for x
    x = 4,800,665,593,524.52/1,010,535.75
  6. Step 6: Final answer
    x = 4,750,614.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.