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Finding the Third Proportional to 1,010,643 and 2,189,474

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Solution

The third proportional to 1,010,643 and 2,189,474 is: 4,743,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,643 : 2,189,474 = 2,189,474 : x
  2. Step 2: Convert to fraction form
    1,010,643/2,189,474 = 2,189,474/x
  3. Step 3: Cross multiply
    1,010,643x = 2,189,474 × 2,189,474
  4. Step 4: Simplify right side
    1,010,643x = 4,793,796,396,676
  5. Step 5: Solve for x
    x = 4,793,796,396,676/1,010,643
  6. Step 6: Final answer
    x = 4,743,313.31

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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.