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Finding the Third Proportional to 601,848 and 914,592

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Solution

The third proportional to 601,848 and 914,592 is: 1,389,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,848 : 914,592 = 914,592 : x
  2. Step 2: Convert to fraction form
    601,848/914,592 = 914,592/x
  3. Step 3: Cross multiply
    601,848x = 914,592 × 914,592
  4. Step 4: Simplify right side
    601,848x = 836,478,526,464
  5. Step 5: Solve for x
    x = 836,478,526,464/601,848
  6. Step 6: Final answer
    x = 1,389,850.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.