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Finding the Third Proportional to 444,953 and 921,449

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Solution

The third proportional to 444,953 and 921,449 is: 1,908,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,953 : 921,449 = 921,449 : x
  2. Step 2: Convert to fraction form
    444,953/921,449 = 921,449/x
  3. Step 3: Cross multiply
    444,953x = 921,449 × 921,449
  4. Step 4: Simplify right side
    444,953x = 849,068,259,601
  5. Step 5: Solve for x
    x = 849,068,259,601/444,953
  6. Step 6: Final answer
    x = 1,908,220.10

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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.