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Finding the Third Proportional to 2,649,930 and 5,719,758

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Solution

The third proportional to 2,649,930 and 5,719,758 is: 12,345,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,930 : 5,719,758 = 5,719,758 : x
  2. Step 2: Convert to fraction form
    2,649,930/5,719,758 = 5,719,758/x
  3. Step 3: Cross multiply
    2,649,930x = 5,719,758 × 5,719,758
  4. Step 4: Simplify right side
    2,649,930x = 32,715,631,578,564
  5. Step 5: Solve for x
    x = 32,715,631,578,564/2,649,930
  6. Step 6: Final answer
    x = 12,345,847.47

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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.