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Finding the Third Proportional to 491,118 and 1,057,806

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Solution

The third proportional to 491,118 and 1,057,806 is: 2,278,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,118 : 1,057,806 = 1,057,806 : x
  2. Step 2: Convert to fraction form
    491,118/1,057,806 = 1,057,806/x
  3. Step 3: Cross multiply
    491,118x = 1,057,806 × 1,057,806
  4. Step 4: Simplify right side
    491,118x = 1,118,953,533,636
  5. Step 5: Solve for x
    x = 1,118,953,533,636/491,118
  6. Step 6: Final answer
    x = 2,278,380.21

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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.