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Finding the Third Proportional to 496,481 and 1,071,671

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Solution

The third proportional to 496,481 and 1,071,671 is: 2,313,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,481 : 1,071,671 = 1,071,671 : x
  2. Step 2: Convert to fraction form
    496,481/1,071,671 = 1,071,671/x
  3. Step 3: Cross multiply
    496,481x = 1,071,671 × 1,071,671
  4. Step 4: Simplify right side
    496,481x = 1,148,478,732,241
  5. Step 5: Solve for x
    x = 1,148,478,732,241/496,481
  6. Step 6: Final answer
    x = 2,313,238.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.