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Finding the Third Proportional to 448,942 and 969,102

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Solution

The third proportional to 448,942 and 969,102 is: 2,091,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,942 : 969,102 = 969,102 : x
  2. Step 2: Convert to fraction form
    448,942/969,102 = 969,102/x
  3. Step 3: Cross multiply
    448,942x = 969,102 × 969,102
  4. Step 4: Simplify right side
    448,942x = 939,158,686,404
  5. Step 5: Solve for x
    x = 939,158,686,404/448,942
  6. Step 6: Final answer
    x = 2,091,937.68

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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.