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Finding the Third Proportional to 448,946 and 969,110

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Solution

The third proportional to 448,946 and 969,110 is: 2,091,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,946 : 969,110 = 969,110 : x
  2. Step 2: Convert to fraction form
    448,946/969,110 = 969,110/x
  3. Step 3: Cross multiply
    448,946x = 969,110 × 969,110
  4. Step 4: Simplify right side
    448,946x = 939,174,192,100
  5. Step 5: Solve for x
    x = 939,174,192,100/448,946
  6. Step 6: Final answer
    x = 2,091,953.58

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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.