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Finding the Third Proportional to 655,094 and 927,962

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Solution

The third proportional to 655,094 and 927,962 is: 1,314,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,094 : 927,962 = 927,962 : x
  2. Step 2: Convert to fraction form
    655,094/927,962 = 927,962/x
  3. Step 3: Cross multiply
    655,094x = 927,962 × 927,962
  4. Step 4: Simplify right side
    655,094x = 861,113,473,444
  5. Step 5: Solve for x
    x = 861,113,473,444/655,094
  6. Step 6: Final answer
    x = 1,314,488.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.