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Finding the Third Proportional to 4,712,760 and 7,252,847

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Solution

The third proportional to 4,712,760 and 7,252,847 is: 11,161,992.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,760 : 7,252,847 = 7,252,847 : x
  2. Step 2: Convert to fraction form
    4,712,760/7,252,847 = 7,252,847/x
  3. Step 3: Cross multiply
    4,712,760x = 7,252,847 × 7,252,847
  4. Step 4: Simplify right side
    4,712,760x = 52,603,789,605,409
  5. Step 5: Solve for x
    x = 52,603,789,605,409/4,712,760
  6. Step 6: Final answer
    x = 11,161,992.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.