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Finding the Third Proportional to 466,754 and 1,024,276

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Solution

The third proportional to 466,754 and 1,024,276 is: 2,247,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,754 : 1,024,276 = 1,024,276 : x
  2. Step 2: Convert to fraction form
    466,754/1,024,276 = 1,024,276/x
  3. Step 3: Cross multiply
    466,754x = 1,024,276 × 1,024,276
  4. Step 4: Simplify right side
    466,754x = 1,049,141,324,176
  5. Step 5: Solve for x
    x = 1,049,141,324,176/466,754
  6. Step 6: Final answer
    x = 2,247,739.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.