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Finding the Third Proportional to 444,956 and 921,456

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Solution

The third proportional to 444,956 and 921,456 is: 1,908,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,956 : 921,456 = 921,456 : x
  2. Step 2: Convert to fraction form
    444,956/921,456 = 921,456/x
  3. Step 3: Cross multiply
    444,956x = 921,456 × 921,456
  4. Step 4: Simplify right side
    444,956x = 849,081,159,936
  5. Step 5: Solve for x
    x = 849,081,159,936/444,956
  6. Step 6: Final answer
    x = 1,908,236.23

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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.