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Finding the Third Proportional to 2,471,036 and 5,414,462

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Solution

The third proportional to 2,471,036 and 5,414,462 is: 11,864,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,036 : 5,414,462 = 5,414,462 : x
  2. Step 2: Convert to fraction form
    2,471,036/5,414,462 = 5,414,462/x
  3. Step 3: Cross multiply
    2,471,036x = 5,414,462 × 5,414,462
  4. Step 4: Simplify right side
    2,471,036x = 29,316,398,749,444
  5. Step 5: Solve for x
    x = 29,316,398,749,444/2,471,036
  6. Step 6: Final answer
    x = 11,864,011.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.