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Finding the Third Proportional to 1,342,947.09 and 2,912,998.57

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Solution

The third proportional to 1,342,947.09 and 2,912,998.57 is: 6,318,611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,947.09 : 2,912,998.57 = 2,912,998.57 : x
  2. Step 2: Convert to fraction form
    1,342,947.09/2,912,998.57 = 2,912,998.57/x
  3. Step 3: Cross multiply
    1,342,947.09x = 2,912,998.57 × 2,912,998.57
  4. Step 4: Simplify right side
    1,342,947.09x = 8,485,560,670,642.67
  5. Step 5: Solve for x
    x = 8,485,560,670,642.67/1,342,947.09
  6. Step 6: Final answer
    x = 6,318,611.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.