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Finding the Third Proportional to 2,694,687 and 5,742,126

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Solution

The third proportional to 2,694,687 and 5,742,126 is: 12,235,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694,687 : 5,742,126 = 5,742,126 : x
  2. Step 2: Convert to fraction form
    2,694,687/5,742,126 = 5,742,126/x
  3. Step 3: Cross multiply
    2,694,687x = 5,742,126 × 5,742,126
  4. Step 4: Simplify right side
    2,694,687x = 32,972,010,999,876
  5. Step 5: Solve for x
    x = 32,972,010,999,876/2,694,687
  6. Step 6: Final answer
    x = 12,235,933.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.