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Finding the Third Proportional to 1,002,567 and 2,164,947.75

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Solution

The third proportional to 1,002,567 and 2,164,947.75 is: 4,674,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,567 : 2,164,947.75 = 2,164,947.75 : x
  2. Step 2: Convert to fraction form
    1,002,567/2,164,947.75 = 2,164,947.75/x
  3. Step 3: Cross multiply
    1,002,567x = 2,164,947.75 × 2,164,947.75
  4. Step 4: Simplify right side
    1,002,567x = 4,686,998,760,230.06
  5. Step 5: Solve for x
    x = 4,686,998,760,230.06/1,002,567
  6. Step 6: Final answer
    x = 4,674,998.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.