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Finding the Third Proportional to 4,610,141 and 6,765,741

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Solution

The third proportional to 4,610,141 and 6,765,741 is: 9,929,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610,141 : 6,765,741 = 6,765,741 : x
  2. Step 2: Convert to fraction form
    4,610,141/6,765,741 = 6,765,741/x
  3. Step 3: Cross multiply
    4,610,141x = 6,765,741 × 6,765,741
  4. Step 4: Simplify right side
    4,610,141x = 45,775,251,279,081
  5. Step 5: Solve for x
    x = 45,775,251,279,081/4,610,141
  6. Step 6: Final answer
    x = 9,929,251.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.