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Finding the Third Proportional to 913,856 and 1,967,744

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Solution

The third proportional to 913,856 and 1,967,744 is: 4,237,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,856 : 1,967,744 = 1,967,744 : x
  2. Step 2: Convert to fraction form
    913,856/1,967,744 = 1,967,744/x
  3. Step 3: Cross multiply
    913,856x = 1,967,744 × 1,967,744
  4. Step 4: Simplify right side
    913,856x = 3,872,016,449,536
  5. Step 5: Solve for x
    x = 3,872,016,449,536/913,856
  6. Step 6: Final answer
    x = 4,237,009.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.