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Finding the Third Proportional to 911,448 and 1,963,134

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Solution

The third proportional to 911,448 and 1,963,134 is: 4,228,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,448 : 1,963,134 = 1,963,134 : x
  2. Step 2: Convert to fraction form
    911,448/1,963,134 = 1,963,134/x
  3. Step 3: Cross multiply
    911,448x = 1,963,134 × 1,963,134
  4. Step 4: Simplify right side
    911,448x = 3,853,895,101,956
  5. Step 5: Solve for x
    x = 3,853,895,101,956/911,448
  6. Step 6: Final answer
    x = 4,228,321.42

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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.