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Finding the Third Proportional to 2,992,129 and 4,738,691

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Solution

The third proportional to 2,992,129 and 4,738,691 is: 7,504,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992,129 : 4,738,691 = 4,738,691 : x
  2. Step 2: Convert to fraction form
    2,992,129/4,738,691 = 4,738,691/x
  3. Step 3: Cross multiply
    2,992,129x = 4,738,691 × 4,738,691
  4. Step 4: Simplify right side
    2,992,129x = 22,455,192,393,481
  5. Step 5: Solve for x
    x = 22,455,192,393,481/2,992,129
  6. Step 6: Final answer
    x = 7,504,754.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.