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Finding the Third Proportional to 2,010,975 and 2,582,041

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Solution

The third proportional to 2,010,975 and 2,582,041 is: 3,315,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,975 : 2,582,041 = 2,582,041 : x
  2. Step 2: Convert to fraction form
    2,010,975/2,582,041 = 2,582,041/x
  3. Step 3: Cross multiply
    2,010,975x = 2,582,041 × 2,582,041
  4. Step 4: Simplify right side
    2,010,975x = 6,666,935,725,681
  5. Step 5: Solve for x
    x = 6,666,935,725,681/2,010,975
  6. Step 6: Final answer
    x = 3,315,275.29

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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.