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Finding the Third Proportional to 542,790 and 1,157,717

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Solution

The third proportional to 542,790 and 1,157,717 is: 2,469,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,790 : 1,157,717 = 1,157,717 : x
  2. Step 2: Convert to fraction form
    542,790/1,157,717 = 1,157,717/x
  3. Step 3: Cross multiply
    542,790x = 1,157,717 × 1,157,717
  4. Step 4: Simplify right side
    542,790x = 1,340,308,652,089
  5. Step 5: Solve for x
    x = 1,340,308,652,089/542,790
  6. Step 6: Final answer
    x = 2,469,295.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.