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Finding the Third Proportional to 1,662,193 and 3,639,670

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Solution

The third proportional to 1,662,193 and 3,639,670 is: 7,969,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662,193 : 3,639,670 = 3,639,670 : x
  2. Step 2: Convert to fraction form
    1,662,193/3,639,670 = 3,639,670/x
  3. Step 3: Cross multiply
    1,662,193x = 3,639,670 × 3,639,670
  4. Step 4: Simplify right side
    1,662,193x = 13,247,197,708,900
  5. Step 5: Solve for x
    x = 13,247,197,708,900/1,662,193
  6. Step 6: Final answer
    x = 7,969,710.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.