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Finding the Third Proportional to 2,876,670 and 6,147,000

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Solution

The third proportional to 2,876,670 and 6,147,000 is: 13,135,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876,670 : 6,147,000 = 6,147,000 : x
  2. Step 2: Convert to fraction form
    2,876,670/6,147,000 = 6,147,000/x
  3. Step 3: Cross multiply
    2,876,670x = 6,147,000 × 6,147,000
  4. Step 4: Simplify right side
    2,876,670x = 37,785,609,000,000
  5. Step 5: Solve for x
    x = 37,785,609,000,000/2,876,670
  6. Step 6: Final answer
    x = 13,135,190.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.