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Finding the Third Proportional to 448,094 and 948,664

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Solution

The third proportional to 448,094 and 948,664 is: 2,008,425.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,094 : 948,664 = 948,664 : x
  2. Step 2: Convert to fraction form
    448,094/948,664 = 948,664/x
  3. Step 3: Cross multiply
    448,094x = 948,664 × 948,664
  4. Step 4: Simplify right side
    448,094x = 899,963,384,896
  5. Step 5: Solve for x
    x = 899,963,384,896/448,094
  6. Step 6: Final answer
    x = 2,008,425.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.