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Finding the Third Proportional to 1,177,286 and 1,822,521

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Solution

The third proportional to 1,177,286 and 1,822,521 is: 2,821,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,286 : 1,822,521 = 1,822,521 : x
  2. Step 2: Convert to fraction form
    1,177,286/1,822,521 = 1,822,521/x
  3. Step 3: Cross multiply
    1,177,286x = 1,822,521 × 1,822,521
  4. Step 4: Simplify right side
    1,177,286x = 3,321,582,795,441
  5. Step 5: Solve for x
    x = 3,321,582,795,441/1,177,286
  6. Step 6: Final answer
    x = 2,821,389.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.