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Finding the Third Proportional to 416,226 and 897,243

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Solution

The third proportional to 416,226 and 897,243 is: 1,934,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,226 : 897,243 = 897,243 : x
  2. Step 2: Convert to fraction form
    416,226/897,243 = 897,243/x
  3. Step 3: Cross multiply
    416,226x = 897,243 × 897,243
  4. Step 4: Simplify right side
    416,226x = 805,045,001,049
  5. Step 5: Solve for x
    x = 805,045,001,049/416,226
  6. Step 6: Final answer
    x = 1,934,153.56

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Why These Related Problems?

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