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Finding the Third Proportional to 485,472 and 994,272

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Solution

The third proportional to 485,472 and 994,272 is: 2,036,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,472 : 994,272 = 994,272 : x
  2. Step 2: Convert to fraction form
    485,472/994,272 = 994,272/x
  3. Step 3: Cross multiply
    485,472x = 994,272 × 994,272
  4. Step 4: Simplify right side
    485,472x = 988,576,809,984
  5. Step 5: Solve for x
    x = 988,576,809,984/485,472
  6. Step 6: Final answer
    x = 2,036,320.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.