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Finding the Third Proportional to 578,986 and 1,275,768

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Solution

The third proportional to 578,986 and 1,275,768 is: 2,811,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,986 : 1,275,768 = 1,275,768 : x
  2. Step 2: Convert to fraction form
    578,986/1,275,768 = 1,275,768/x
  3. Step 3: Cross multiply
    578,986x = 1,275,768 × 1,275,768
  4. Step 4: Simplify right side
    578,986x = 1,627,583,989,824
  5. Step 5: Solve for x
    x = 1,627,583,989,824/578,986
  6. Step 6: Final answer
    x = 2,811,093.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.