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Finding the Third Proportional to 448,897 and 967,762

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Solution

The third proportional to 448,897 and 967,762 is: 2,086,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,897 : 967,762 = 967,762 : x
  2. Step 2: Convert to fraction form
    448,897/967,762 = 967,762/x
  3. Step 3: Cross multiply
    448,897x = 967,762 × 967,762
  4. Step 4: Simplify right side
    448,897x = 936,563,288,644
  5. Step 5: Solve for x
    x = 936,563,288,644/448,897
  6. Step 6: Final answer
    x = 2,086,365.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.