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Finding the Third Proportional to 488,792 and 1,022,272

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Solution

The third proportional to 488,792 and 1,022,272 is: 2,138,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,792 : 1,022,272 = 1,022,272 : x
  2. Step 2: Convert to fraction form
    488,792/1,022,272 = 1,022,272/x
  3. Step 3: Cross multiply
    488,792x = 1,022,272 × 1,022,272
  4. Step 4: Simplify right side
    488,792x = 1,045,040,041,984
  5. Step 5: Solve for x
    x = 1,045,040,041,984/488,792
  6. Step 6: Final answer
    x = 2,138,005.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.