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Finding the Third Proportional to 2,010,971 and 2,582,035

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Solution

The third proportional to 2,010,971 and 2,582,035 is: 3,315,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,971 : 2,582,035 = 2,582,035 : x
  2. Step 2: Convert to fraction form
    2,010,971/2,582,035 = 2,582,035/x
  3. Step 3: Cross multiply
    2,010,971x = 2,582,035 × 2,582,035
  4. Step 4: Simplify right side
    2,010,971x = 6,666,904,741,225
  5. Step 5: Solve for x
    x = 6,666,904,741,225/2,010,971
  6. Step 6: Final answer
    x = 3,315,266.48

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.