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Finding the Third Proportional to 2,138,291 and 4,653,012

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Solution

The third proportional to 2,138,291 and 4,653,012 is: 10,125,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,291 : 4,653,012 = 4,653,012 : x
  2. Step 2: Convert to fraction form
    2,138,291/4,653,012 = 4,653,012/x
  3. Step 3: Cross multiply
    2,138,291x = 4,653,012 × 4,653,012
  4. Step 4: Simplify right side
    2,138,291x = 21,650,520,672,144
  5. Step 5: Solve for x
    x = 21,650,520,672,144/2,138,291
  6. Step 6: Final answer
    x = 10,125,151.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.