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Finding the Third Proportional to 2,109,782 and 3,268,920

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Solution

The third proportional to 2,109,782 and 3,268,920 is: 5,064,901.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109,782 : 3,268,920 = 3,268,920 : x
  2. Step 2: Convert to fraction form
    2,109,782/3,268,920 = 3,268,920/x
  3. Step 3: Cross multiply
    2,109,782x = 3,268,920 × 3,268,920
  4. Step 4: Simplify right side
    2,109,782x = 10,685,837,966,400
  5. Step 5: Solve for x
    x = 10,685,837,966,400/2,109,782
  6. Step 6: Final answer
    x = 5,064,901.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.