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Finding the Third Proportional to 2,709,168 and 5,791,584

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Solution

The third proportional to 2,709,168 and 5,791,584 is: 12,381,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,168 : 5,791,584 = 5,791,584 : x
  2. Step 2: Convert to fraction form
    2,709,168/5,791,584 = 5,791,584/x
  3. Step 3: Cross multiply
    2,709,168x = 5,791,584 × 5,791,584
  4. Step 4: Simplify right side
    2,709,168x = 33,542,445,229,056
  5. Step 5: Solve for x
    x = 33,542,445,229,056/2,709,168
  6. Step 6: Final answer
    x = 12,381,087.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.