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Finding the Third Proportional to 416,639 and 897,248

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Solution

The third proportional to 416,639 and 897,248 is: 1,932,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,639 : 897,248 = 897,248 : x
  2. Step 2: Convert to fraction form
    416,639/897,248 = 897,248/x
  3. Step 3: Cross multiply
    416,639x = 897,248 × 897,248
  4. Step 4: Simplify right side
    416,639x = 805,053,973,504
  5. Step 5: Solve for x
    x = 805,053,973,504/416,639
  6. Step 6: Final answer
    x = 1,932,257.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.