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Finding the Third Proportional to 1,138,291 and 2,437,963

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Solution

The third proportional to 1,138,291 and 2,437,963 is: 5,221,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,291 : 2,437,963 = 2,437,963 : x
  2. Step 2: Convert to fraction form
    1,138,291/2,437,963 = 2,437,963/x
  3. Step 3: Cross multiply
    1,138,291x = 2,437,963 × 2,437,963
  4. Step 4: Simplify right side
    1,138,291x = 5,943,663,589,369
  5. Step 5: Solve for x
    x = 5,943,663,589,369/1,138,291
  6. Step 6: Final answer
    x = 5,221,567.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.