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Finding the Third Proportional to 1,745,205 and 3,770,577

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Solution

The third proportional to 1,745,205 and 3,770,577 is: 8,146,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,205 : 3,770,577 = 3,770,577 : x
  2. Step 2: Convert to fraction form
    1,745,205/3,770,577 = 3,770,577/x
  3. Step 3: Cross multiply
    1,745,205x = 3,770,577 × 3,770,577
  4. Step 4: Simplify right side
    1,745,205x = 14,217,250,912,929
  5. Step 5: Solve for x
    x = 14,217,250,912,929/1,745,205
  6. Step 6: Final answer
    x = 8,146,464.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.