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Finding the Third Proportional to 493,113 and 1,061,132

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Solution

The third proportional to 493,113 and 1,061,132 is: 2,283,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,113 : 1,061,132 = 1,061,132 : x
  2. Step 2: Convert to fraction form
    493,113/1,061,132 = 1,061,132/x
  3. Step 3: Cross multiply
    493,113x = 1,061,132 × 1,061,132
  4. Step 4: Simplify right side
    493,113x = 1,126,001,121,424
  5. Step 5: Solve for x
    x = 1,126,001,121,424/493,113
  6. Step 6: Final answer
    x = 2,283,454.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.