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Finding the Third Proportional to 572,199 and 1,242,717

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Solution

The third proportional to 572,199 and 1,242,717 is: 2,698,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,199 : 1,242,717 = 1,242,717 : x
  2. Step 2: Convert to fraction form
    572,199/1,242,717 = 1,242,717/x
  3. Step 3: Cross multiply
    572,199x = 1,242,717 × 1,242,717
  4. Step 4: Simplify right side
    572,199x = 1,544,345,542,089
  5. Step 5: Solve for x
    x = 1,544,345,542,089/572,199
  6. Step 6: Final answer
    x = 2,698,965.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.