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Finding the Third Proportional to 2,206,684 and 4,761,716

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Solution

The third proportional to 2,206,684 and 4,761,716 is: 10,275,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,684 : 4,761,716 = 4,761,716 : x
  2. Step 2: Convert to fraction form
    2,206,684/4,761,716 = 4,761,716/x
  3. Step 3: Cross multiply
    2,206,684x = 4,761,716 × 4,761,716
  4. Step 4: Simplify right side
    2,206,684x = 22,673,939,264,656
  5. Step 5: Solve for x
    x = 22,673,939,264,656/2,206,684
  6. Step 6: Final answer
    x = 10,275,118.35

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