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Finding the Third Proportional to 2,726,386.50 and 5,734,815

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Solution

The third proportional to 2,726,386.50 and 5,734,815 is: 12,062,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726,386.50 : 5,734,815 = 5,734,815 : x
  2. Step 2: Convert to fraction form
    2,726,386.50/5,734,815 = 5,734,815/x
  3. Step 3: Cross multiply
    2,726,386.50x = 5,734,815 × 5,734,815
  4. Step 4: Simplify right side
    2,726,386.50x = 32,888,103,084,225
  5. Step 5: Solve for x
    x = 32,888,103,084,225/2,726,386.50
  6. Step 6: Final answer
    x = 12,062,890.97

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.