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Finding the Third Proportional to 467,338 and 1,016,684

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Solution

The third proportional to 467,338 and 1,016,684 is: 2,211,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,338 : 1,016,684 = 1,016,684 : x
  2. Step 2: Convert to fraction form
    467,338/1,016,684 = 1,016,684/x
  3. Step 3: Cross multiply
    467,338x = 1,016,684 × 1,016,684
  4. Step 4: Simplify right side
    467,338x = 1,033,646,355,856
  5. Step 5: Solve for x
    x = 1,033,646,355,856/467,338
  6. Step 6: Final answer
    x = 2,211,774.68

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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.