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Finding the Third Proportional to 469,116 and 1,024,267

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Solution

The third proportional to 469,116 and 1,024,267 is: 2,236,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,116 : 1,024,267 = 1,024,267 : x
  2. Step 2: Convert to fraction form
    469,116/1,024,267 = 1,024,267/x
  3. Step 3: Cross multiply
    469,116x = 1,024,267 × 1,024,267
  4. Step 4: Simplify right side
    469,116x = 1,049,122,887,289
  5. Step 5: Solve for x
    x = 1,049,122,887,289/469,116
  6. Step 6: Final answer
    x = 2,236,382.66

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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.