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Finding the Third Proportional to 426,521 and 901,966

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Solution

The third proportional to 426,521 and 901,966 is: 1,907,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,521 : 901,966 = 901,966 : x
  2. Step 2: Convert to fraction form
    426,521/901,966 = 901,966/x
  3. Step 3: Cross multiply
    426,521x = 901,966 × 901,966
  4. Step 4: Simplify right side
    426,521x = 813,542,665,156
  5. Step 5: Solve for x
    x = 813,542,665,156/426,521
  6. Step 6: Final answer
    x = 1,907,391.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.