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Finding the Third Proportional to 448,938 and 969,093

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Solution

The third proportional to 448,938 and 969,093 is: 2,091,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,938 : 969,093 = 969,093 : x
  2. Step 2: Convert to fraction form
    448,938/969,093 = 969,093/x
  3. Step 3: Cross multiply
    448,938x = 969,093 × 969,093
  4. Step 4: Simplify right side
    448,938x = 939,141,242,649
  5. Step 5: Solve for x
    x = 939,141,242,649/448,938
  6. Step 6: Final answer
    x = 2,091,917.46

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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.