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Finding the Third Proportional to 482,634 and 1,029,366

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Solution

The third proportional to 482,634 and 1,029,366 is: 2,195,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,634 : 1,029,366 = 1,029,366 : x
  2. Step 2: Convert to fraction form
    482,634/1,029,366 = 1,029,366/x
  3. Step 3: Cross multiply
    482,634x = 1,029,366 × 1,029,366
  4. Step 4: Simplify right side
    482,634x = 1,059,594,361,956
  5. Step 5: Solve for x
    x = 1,059,594,361,956/482,634
  6. Step 6: Final answer
    x = 2,195,440.77

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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.