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Finding the Third Proportional to 2,010,965 and 2,582,026

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Solution

The third proportional to 2,010,965 and 2,582,026 is: 3,315,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,965 : 2,582,026 = 2,582,026 : x
  2. Step 2: Convert to fraction form
    2,010,965/2,582,026 = 2,582,026/x
  3. Step 3: Cross multiply
    2,010,965x = 2,582,026 × 2,582,026
  4. Step 4: Simplify right side
    2,010,965x = 6,666,858,264,676
  5. Step 5: Solve for x
    x = 6,666,858,264,676/2,010,965
  6. Step 6: Final answer
    x = 3,315,253.26

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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.