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Finding the Third Proportional to 2,129,124 and 4,536,972

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Solution

The third proportional to 2,129,124 and 4,536,972 is: 9,667,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,124 : 4,536,972 = 4,536,972 : x
  2. Step 2: Convert to fraction form
    2,129,124/4,536,972 = 4,536,972/x
  3. Step 3: Cross multiply
    2,129,124x = 4,536,972 × 4,536,972
  4. Step 4: Simplify right side
    2,129,124x = 20,584,114,928,784
  5. Step 5: Solve for x
    x = 20,584,114,928,784/2,129,124
  6. Step 6: Final answer
    x = 9,667,879.81

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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.