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Finding the Third Proportional to 745,736 and 1,601,831

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Solution

The third proportional to 745,736 and 1,601,831 is: 3,440,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,736 : 1,601,831 = 1,601,831 : x
  2. Step 2: Convert to fraction form
    745,736/1,601,831 = 1,601,831/x
  3. Step 3: Cross multiply
    745,736x = 1,601,831 × 1,601,831
  4. Step 4: Simplify right side
    745,736x = 2,565,862,552,561
  5. Step 5: Solve for x
    x = 2,565,862,552,561/745,736
  6. Step 6: Final answer
    x = 3,440,711.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.