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Finding the Third Proportional to 647,524 and 1,373,948

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Solution

The third proportional to 647,524 and 1,373,948 is: 2,915,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,524 : 1,373,948 = 1,373,948 : x
  2. Step 2: Convert to fraction form
    647,524/1,373,948 = 1,373,948/x
  3. Step 3: Cross multiply
    647,524x = 1,373,948 × 1,373,948
  4. Step 4: Simplify right side
    647,524x = 1,887,733,106,704
  5. Step 5: Solve for x
    x = 1,887,733,106,704/647,524
  6. Step 6: Final answer
    x = 2,915,309.87

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.