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Finding the Third Proportional to 1,000,218 and 1,429,286

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Solution

The third proportional to 1,000,218 and 1,429,286 is: 2,042,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,218 : 1,429,286 = 1,429,286 : x
  2. Step 2: Convert to fraction form
    1,000,218/1,429,286 = 1,429,286/x
  3. Step 3: Cross multiply
    1,000,218x = 1,429,286 × 1,429,286
  4. Step 4: Simplify right side
    1,000,218x = 2,042,858,469,796
  5. Step 5: Solve for x
    x = 2,042,858,469,796/1,000,218
  6. Step 6: Final answer
    x = 2,042,413.22

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.