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Finding the Third Proportional to 466,110 and 1,015,257

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Solution

The third proportional to 466,110 and 1,015,257 is: 2,211,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,110 : 1,015,257 = 1,015,257 : x
  2. Step 2: Convert to fraction form
    466,110/1,015,257 = 1,015,257/x
  3. Step 3: Cross multiply
    466,110x = 1,015,257 × 1,015,257
  4. Step 4: Simplify right side
    466,110x = 1,030,746,776,049
  5. Step 5: Solve for x
    x = 1,030,746,776,049/466,110
  6. Step 6: Final answer
    x = 2,211,380.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.