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Finding the Third Proportional to 2,174,751 and 4,707,900

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Solution

The third proportional to 2,174,751 and 4,707,900 is: 10,191,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,751 : 4,707,900 = 4,707,900 : x
  2. Step 2: Convert to fraction form
    2,174,751/4,707,900 = 4,707,900/x
  3. Step 3: Cross multiply
    2,174,751x = 4,707,900 × 4,707,900
  4. Step 4: Simplify right side
    2,174,751x = 22,164,322,410,000
  5. Step 5: Solve for x
    x = 22,164,322,410,000/2,174,751
  6. Step 6: Final answer
    x = 10,191,659.83

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