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Finding the Third Proportional to 448,818 and 967,620

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Solution

The third proportional to 448,818 and 967,620 is: 2,086,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,818 : 967,620 = 967,620 : x
  2. Step 2: Convert to fraction form
    448,818/967,620 = 967,620/x
  3. Step 3: Cross multiply
    448,818x = 967,620 × 967,620
  4. Step 4: Simplify right side
    448,818x = 936,288,464,400
  5. Step 5: Solve for x
    x = 936,288,464,400/448,818
  6. Step 6: Final answer
    x = 2,086,120.58

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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.