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Finding the Third Proportional to 444,192 and 976,938

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Solution

The third proportional to 444,192 and 976,938 is: 2,148,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,192 : 976,938 = 976,938 : x
  2. Step 2: Convert to fraction form
    444,192/976,938 = 976,938/x
  3. Step 3: Cross multiply
    444,192x = 976,938 × 976,938
  4. Step 4: Simplify right side
    444,192x = 954,407,855,844
  5. Step 5: Solve for x
    x = 954,407,855,844/444,192
  6. Step 6: Final answer
    x = 2,148,638.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.