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Finding the Third Proportional to 444,954 and 921,451

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Solution

The third proportional to 444,954 and 921,451 is: 1,908,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,954 : 921,451 = 921,451 : x
  2. Step 2: Convert to fraction form
    444,954/921,451 = 921,451/x
  3. Step 3: Cross multiply
    444,954x = 921,451 × 921,451
  4. Step 4: Simplify right side
    444,954x = 849,071,945,401
  5. Step 5: Solve for x
    x = 849,071,945,401/444,954
  6. Step 6: Final answer
    x = 1,908,224.10

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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.