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Finding the Third Proportional to 747,822 and 1,632,696

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Solution

The third proportional to 747,822 and 1,632,696 is: 3,564,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,822 : 1,632,696 = 1,632,696 : x
  2. Step 2: Convert to fraction form
    747,822/1,632,696 = 1,632,696/x
  3. Step 3: Cross multiply
    747,822x = 1,632,696 × 1,632,696
  4. Step 4: Simplify right side
    747,822x = 2,665,696,228,416
  5. Step 5: Solve for x
    x = 2,665,696,228,416/747,822
  6. Step 6: Final answer
    x = 3,564,613.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.