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Finding the Third Proportional to 482,496 and 1,029,116

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Solution

The third proportional to 482,496 and 1,029,116 is: 2,195,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,496 : 1,029,116 = 1,029,116 : x
  2. Step 2: Convert to fraction form
    482,496/1,029,116 = 1,029,116/x
  3. Step 3: Cross multiply
    482,496x = 1,029,116 × 1,029,116
  4. Step 4: Simplify right side
    482,496x = 1,059,079,741,456
  5. Step 5: Solve for x
    x = 1,059,079,741,456/482,496
  6. Step 6: Final answer
    x = 2,195,002.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.