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Finding the Third Proportional to 911,001 and 2,109,013

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Solution

The third proportional to 911,001 and 2,109,013 is: 4,882,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,001 : 2,109,013 = 2,109,013 : x
  2. Step 2: Convert to fraction form
    911,001/2,109,013 = 2,109,013/x
  3. Step 3: Cross multiply
    911,001x = 2,109,013 × 2,109,013
  4. Step 4: Simplify right side
    911,001x = 4,447,935,834,169
  5. Step 5: Solve for x
    x = 4,447,935,834,169/911,001
  6. Step 6: Final answer
    x = 4,882,470.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.