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Finding the Third Proportional to 649,168 and 1,402,016

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Solution

The third proportional to 649,168 and 1,402,016 is: 3,027,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,168 : 1,402,016 = 1,402,016 : x
  2. Step 2: Convert to fraction form
    649,168/1,402,016 = 1,402,016/x
  3. Step 3: Cross multiply
    649,168x = 1,402,016 × 1,402,016
  4. Step 4: Simplify right side
    649,168x = 1,965,648,864,256
  5. Step 5: Solve for x
    x = 1,965,648,864,256/649,168
  6. Step 6: Final answer
    x = 3,027,950.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.