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Finding the Third Proportional to 610,170 and 1,270,842

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Solution

The third proportional to 610,170 and 1,270,842 is: 2,646,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,170 : 1,270,842 = 1,270,842 : x
  2. Step 2: Convert to fraction form
    610,170/1,270,842 = 1,270,842/x
  3. Step 3: Cross multiply
    610,170x = 1,270,842 × 1,270,842
  4. Step 4: Simplify right side
    610,170x = 1,615,039,388,964
  5. Step 5: Solve for x
    x = 1,615,039,388,964/610,170
  6. Step 6: Final answer
    x = 2,646,867.90

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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.