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Finding the Third Proportional to 448,929 and 969,073

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Solution

The third proportional to 448,929 and 969,073 is: 2,091,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,929 : 969,073 = 969,073 : x
  2. Step 2: Convert to fraction form
    448,929/969,073 = 969,073/x
  3. Step 3: Cross multiply
    448,929x = 969,073 × 969,073
  4. Step 4: Simplify right side
    448,929x = 939,102,479,329
  5. Step 5: Solve for x
    x = 939,102,479,329/448,929
  6. Step 6: Final answer
    x = 2,091,873.06

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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.