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Finding the Third Proportional to 3,042,853 and 4,738,761

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Solution

The third proportional to 3,042,853 and 4,738,761 is: 7,379,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042,853 : 4,738,761 = 4,738,761 : x
  2. Step 2: Convert to fraction form
    3,042,853/4,738,761 = 4,738,761/x
  3. Step 3: Cross multiply
    3,042,853x = 4,738,761 × 4,738,761
  4. Step 4: Simplify right side
    3,042,853x = 22,455,855,815,121
  5. Step 5: Solve for x
    x = 22,455,855,815,121/3,042,853
  6. Step 6: Final answer
    x = 7,379,868.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.