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Finding the Third Proportional to 2,138,524 and 4,453,972

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Solution

The third proportional to 2,138,524 and 4,453,972 is: 9,276,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,524 : 4,453,972 = 4,453,972 : x
  2. Step 2: Convert to fraction form
    2,138,524/4,453,972 = 4,453,972/x
  3. Step 3: Cross multiply
    2,138,524x = 4,453,972 × 4,453,972
  4. Step 4: Simplify right side
    2,138,524x = 19,837,866,576,784
  5. Step 5: Solve for x
    x = 19,837,866,576,784/2,138,524
  6. Step 6: Final answer
    x = 9,276,429.25

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.