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Finding the Third Proportional to 444,142 and 976,857

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Solution

The third proportional to 444,142 and 976,857 is: 2,148,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,142 : 976,857 = 976,857 : x
  2. Step 2: Convert to fraction form
    444,142/976,857 = 976,857/x
  3. Step 3: Cross multiply
    444,142x = 976,857 × 976,857
  4. Step 4: Simplify right side
    444,142x = 954,249,598,449
  5. Step 5: Solve for x
    x = 954,249,598,449/444,142
  6. Step 6: Final answer
    x = 2,148,523.67

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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.