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Finding the Third Proportional to 469,120 and 1,024,264

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Solution

The third proportional to 469,120 and 1,024,264 is: 2,236,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,120 : 1,024,264 = 1,024,264 : x
  2. Step 2: Convert to fraction form
    469,120/1,024,264 = 1,024,264/x
  3. Step 3: Cross multiply
    469,120x = 1,024,264 × 1,024,264
  4. Step 4: Simplify right side
    469,120x = 1,049,116,741,696
  5. Step 5: Solve for x
    x = 1,049,116,741,696/469,120
  6. Step 6: Final answer
    x = 2,236,350.49

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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.