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Finding the Third Proportional to 444,954 and 921,452

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Solution

The third proportional to 444,954 and 921,452 is: 1,908,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,954 : 921,452 = 921,452 : x
  2. Step 2: Convert to fraction form
    444,954/921,452 = 921,452/x
  3. Step 3: Cross multiply
    444,954x = 921,452 × 921,452
  4. Step 4: Simplify right side
    444,954x = 849,073,788,304
  5. Step 5: Solve for x
    x = 849,073,788,304/444,954
  6. Step 6: Final answer
    x = 1,908,228.24

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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.