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Finding the Third Proportional to 1,186,860 and 2,570,712

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Solution

The third proportional to 1,186,860 and 2,570,712 is: 5,568,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,860 : 2,570,712 = 2,570,712 : x
  2. Step 2: Convert to fraction form
    1,186,860/2,570,712 = 2,570,712/x
  3. Step 3: Cross multiply
    1,186,860x = 2,570,712 × 2,570,712
  4. Step 4: Simplify right side
    1,186,860x = 6,608,560,186,944
  5. Step 5: Solve for x
    x = 6,608,560,186,944/1,186,860
  6. Step 6: Final answer
    x = 5,568,104.23

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