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Finding the Third Proportional to 497,103 and 1,090,979

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Solution

The third proportional to 497,103 and 1,090,979 is: 2,394,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,103 : 1,090,979 = 1,090,979 : x
  2. Step 2: Convert to fraction form
    497,103/1,090,979 = 1,090,979/x
  3. Step 3: Cross multiply
    497,103x = 1,090,979 × 1,090,979
  4. Step 4: Simplify right side
    497,103x = 1,190,235,178,441
  5. Step 5: Solve for x
    x = 1,190,235,178,441/497,103
  6. Step 6: Final answer
    x = 2,394,343.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.