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Finding the Third Proportional to 420,252 and 933,816

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Solution

The third proportional to 420,252 and 933,816 is: 2,074,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,252 : 933,816 = 933,816 : x
  2. Step 2: Convert to fraction form
    420,252/933,816 = 933,816/x
  3. Step 3: Cross multiply
    420,252x = 933,816 × 933,816
  4. Step 4: Simplify right side
    420,252x = 872,012,321,856
  5. Step 5: Solve for x
    x = 872,012,321,856/420,252
  6. Step 6: Final answer
    x = 2,074,974.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.