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Finding the Third Proportional to 444,194 and 976,942

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Solution

The third proportional to 444,194 and 976,942 is: 2,148,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,194 : 976,942 = 976,942 : x
  2. Step 2: Convert to fraction form
    444,194/976,942 = 976,942/x
  3. Step 3: Cross multiply
    444,194x = 976,942 × 976,942
  4. Step 4: Simplify right side
    444,194x = 954,415,671,364
  5. Step 5: Solve for x
    x = 954,415,671,364/444,194
  6. Step 6: Final answer
    x = 2,148,646.02

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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.