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Finding the Third Proportional to 491,103 and 1,057,779

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Solution

The third proportional to 491,103 and 1,057,779 is: 2,278,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,103 : 1,057,779 = 1,057,779 : x
  2. Step 2: Convert to fraction form
    491,103/1,057,779 = 1,057,779/x
  3. Step 3: Cross multiply
    491,103x = 1,057,779 × 1,057,779
  4. Step 4: Simplify right side
    491,103x = 1,118,896,412,841
  5. Step 5: Solve for x
    x = 1,118,896,412,841/491,103
  6. Step 6: Final answer
    x = 2,278,333.49

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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.