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Finding the Third Proportional to 2,129,126 and 4,536,976

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Solution

The third proportional to 2,129,126 and 4,536,976 is: 9,667,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,126 : 4,536,976 = 4,536,976 : x
  2. Step 2: Convert to fraction form
    2,129,126/4,536,976 = 4,536,976/x
  3. Step 3: Cross multiply
    2,129,126x = 4,536,976 × 4,536,976
  4. Step 4: Simplify right side
    2,129,126x = 20,584,151,224,576
  5. Step 5: Solve for x
    x = 20,584,151,224,576/2,129,126
  6. Step 6: Final answer
    x = 9,667,887.77

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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.