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Finding the Third Proportional to 2,191,866 and 3,439,257

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Solution

The third proportional to 2,191,866 and 3,439,257 is: 5,396,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191,866 : 3,439,257 = 3,439,257 : x
  2. Step 2: Convert to fraction form
    2,191,866/3,439,257 = 3,439,257/x
  3. Step 3: Cross multiply
    2,191,866x = 3,439,257 × 3,439,257
  4. Step 4: Simplify right side
    2,191,866x = 11,828,488,712,049
  5. Step 5: Solve for x
    x = 11,828,488,712,049/2,191,866
  6. Step 6: Final answer
    x = 5,396,538.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.