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Finding the Third Proportional to 1,265,769 and 2,729,441

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Solution

The third proportional to 1,265,769 and 2,729,441 is: 5,885,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,769 : 2,729,441 = 2,729,441 : x
  2. Step 2: Convert to fraction form
    1,265,769/2,729,441 = 2,729,441/x
  3. Step 3: Cross multiply
    1,265,769x = 2,729,441 × 2,729,441
  4. Step 4: Simplify right side
    1,265,769x = 7,449,848,172,481
  5. Step 5: Solve for x
    x = 7,449,848,172,481/1,265,769
  6. Step 6: Final answer
    x = 5,885,630.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.