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Finding the Third Proportional to 745,734 and 1,601,827

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Solution

The third proportional to 745,734 and 1,601,827 is: 3,440,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,734 : 1,601,827 = 1,601,827 : x
  2. Step 2: Convert to fraction form
    745,734/1,601,827 = 1,601,827/x
  3. Step 3: Cross multiply
    745,734x = 1,601,827 × 1,601,827
  4. Step 4: Simplify right side
    745,734x = 2,565,849,737,929
  5. Step 5: Solve for x
    x = 2,565,849,737,929/745,734
  6. Step 6: Final answer
    x = 3,440,703.71

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