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Finding the Third Proportional to 1,257,568 and 1,777,729

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Solution

The third proportional to 1,257,568 and 1,777,729 is: 2,513,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,568 : 1,777,729 = 1,777,729 : x
  2. Step 2: Convert to fraction form
    1,257,568/1,777,729 = 1,777,729/x
  3. Step 3: Cross multiply
    1,257,568x = 1,777,729 × 1,777,729
  4. Step 4: Simplify right side
    1,257,568x = 3,160,320,397,441
  5. Step 5: Solve for x
    x = 3,160,320,397,441/1,257,568
  6. Step 6: Final answer
    x = 2,513,041.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.