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Finding the Third Proportional to 416,223 and 897,237

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Solution

The third proportional to 416,223 and 897,237 is: 1,934,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,223 : 897,237 = 897,237 : x
  2. Step 2: Convert to fraction form
    416,223/897,237 = 897,237/x
  3. Step 3: Cross multiply
    416,223x = 897,237 × 897,237
  4. Step 4: Simplify right side
    416,223x = 805,034,234,169
  5. Step 5: Solve for x
    x = 805,034,234,169/416,223
  6. Step 6: Final answer
    x = 1,934,141.64

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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.