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Finding the Third Proportional to 3,579,768 and 5,200,596

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Solution

The third proportional to 3,579,768 and 5,200,596 is: 7,555,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579,768 : 5,200,596 = 5,200,596 : x
  2. Step 2: Convert to fraction form
    3,579,768/5,200,596 = 5,200,596/x
  3. Step 3: Cross multiply
    3,579,768x = 5,200,596 × 5,200,596
  4. Step 4: Simplify right side
    3,579,768x = 27,046,198,755,216
  5. Step 5: Solve for x
    x = 27,046,198,755,216/3,579,768
  6. Step 6: Final answer
    x = 7,555,293.74

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.