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Finding the Third Proportional to 2,665,970 and 3,809,670

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Solution

The third proportional to 2,665,970 and 3,809,670 is: 5,444,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,970 : 3,809,670 = 3,809,670 : x
  2. Step 2: Convert to fraction form
    2,665,970/3,809,670 = 3,809,670/x
  3. Step 3: Cross multiply
    2,665,970x = 3,809,670 × 3,809,670
  4. Step 4: Simplify right side
    2,665,970x = 14,513,585,508,900
  5. Step 5: Solve for x
    x = 14,513,585,508,900/2,665,970
  6. Step 6: Final answer
    x = 5,444,016.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.