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Finding the Third Proportional to 444,974 and 921,489

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Solution

The third proportional to 444,974 and 921,489 is: 1,908,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,974 : 921,489 = 921,489 : x
  2. Step 2: Convert to fraction form
    444,974/921,489 = 921,489/x
  3. Step 3: Cross multiply
    444,974x = 921,489 × 921,489
  4. Step 4: Simplify right side
    444,974x = 849,141,977,121
  5. Step 5: Solve for x
    x = 849,141,977,121/444,974
  6. Step 6: Final answer
    x = 1,908,295.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.