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Finding the Third Proportional to 2,649,969 and 5,719,599

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Solution

The third proportional to 2,649,969 and 5,719,599 is: 12,344,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,969 : 5,719,599 = 5,719,599 : x
  2. Step 2: Convert to fraction form
    2,649,969/5,719,599 = 5,719,599/x
  3. Step 3: Cross multiply
    2,649,969x = 5,719,599 × 5,719,599
  4. Step 4: Simplify right side
    2,649,969x = 32,713,812,720,801
  5. Step 5: Solve for x
    x = 32,713,812,720,801/2,649,969
  6. Step 6: Final answer
    x = 12,344,979.40

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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.