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Finding the Third Proportional to 1,442,049 and 3,338,253

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Solution

The third proportional to 1,442,049 and 3,338,253 is: 7,727,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,049 : 3,338,253 = 3,338,253 : x
  2. Step 2: Convert to fraction form
    1,442,049/3,338,253 = 3,338,253/x
  3. Step 3: Cross multiply
    1,442,049x = 3,338,253 × 3,338,253
  4. Step 4: Simplify right side
    1,442,049x = 11,143,933,092,009
  5. Step 5: Solve for x
    x = 11,143,933,092,009/1,442,049
  6. Step 6: Final answer
    x = 7,727,846.34

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.