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Finding the Third Proportional to 610,181 and 1,270,863

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Solution

The third proportional to 610,181 and 1,270,863 is: 2,646,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,181 : 1,270,863 = 1,270,863 : x
  2. Step 2: Convert to fraction form
    610,181/1,270,863 = 1,270,863/x
  3. Step 3: Cross multiply
    610,181x = 1,270,863 × 1,270,863
  4. Step 4: Simplify right side
    610,181x = 1,615,092,764,769
  5. Step 5: Solve for x
    x = 1,615,092,764,769/610,181
  6. Step 6: Final answer
    x = 2,646,907.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.