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Finding the Third Proportional to 913,441 and 1,962,962

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Solution

The third proportional to 913,441 and 1,962,962 is: 4,218,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,441 : 1,962,962 = 1,962,962 : x
  2. Step 2: Convert to fraction form
    913,441/1,962,962 = 1,962,962/x
  3. Step 3: Cross multiply
    913,441x = 1,962,962 × 1,962,962
  4. Step 4: Simplify right side
    913,441x = 3,853,219,813,444
  5. Step 5: Solve for x
    x = 3,853,219,813,444/913,441
  6. Step 6: Final answer
    x = 4,218,356.54

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Why These Related Problems?

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