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Finding the Third Proportional to 745,738 and 1,601,835

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Solution

The third proportional to 745,738 and 1,601,835 is: 3,440,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,738 : 1,601,835 = 1,601,835 : x
  2. Step 2: Convert to fraction form
    745,738/1,601,835 = 1,601,835/x
  3. Step 3: Cross multiply
    745,738x = 1,601,835 × 1,601,835
  4. Step 4: Simplify right side
    745,738x = 2,565,875,367,225
  5. Step 5: Solve for x
    x = 2,565,875,367,225/745,738
  6. Step 6: Final answer
    x = 3,440,719.62

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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.