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Finding the Third Proportional to 1,263,712 and 2,729,708

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Solution

The third proportional to 1,263,712 and 2,729,708 is: 5,896,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,712 : 2,729,708 = 2,729,708 : x
  2. Step 2: Convert to fraction form
    1,263,712/2,729,708 = 2,729,708/x
  3. Step 3: Cross multiply
    1,263,712x = 2,729,708 × 2,729,708
  4. Step 4: Simplify right side
    1,263,712x = 7,451,305,765,264
  5. Step 5: Solve for x
    x = 7,451,305,765,264/1,263,712
  6. Step 6: Final answer
    x = 5,896,363.86

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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.