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Finding the Third Proportional to 1,578,010 and 3,451,266

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Solution

The third proportional to 1,578,010 and 3,451,266 is: 7,548,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,010 : 3,451,266 = 3,451,266 : x
  2. Step 2: Convert to fraction form
    1,578,010/3,451,266 = 3,451,266/x
  3. Step 3: Cross multiply
    1,578,010x = 3,451,266 × 3,451,266
  4. Step 4: Simplify right side
    1,578,010x = 11,911,237,002,756
  5. Step 5: Solve for x
    x = 11,911,237,002,756/1,578,010
  6. Step 6: Final answer
    x = 7,548,264.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.