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Finding the Third Proportional to 847,238 and 1,862,410

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Solution

The third proportional to 847,238 and 1,862,410 is: 4,093,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,238 : 1,862,410 = 1,862,410 : x
  2. Step 2: Convert to fraction form
    847,238/1,862,410 = 1,862,410/x
  3. Step 3: Cross multiply
    847,238x = 1,862,410 × 1,862,410
  4. Step 4: Simplify right side
    847,238x = 3,468,571,008,100
  5. Step 5: Solve for x
    x = 3,468,571,008,100/847,238
  6. Step 6: Final answer
    x = 4,093,974.78

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