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Finding the Third Proportional to 601,924 and 1,283,912

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Solution

The third proportional to 601,924 and 1,283,912 is: 2,738,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,924 : 1,283,912 = 1,283,912 : x
  2. Step 2: Convert to fraction form
    601,924/1,283,912 = 1,283,912/x
  3. Step 3: Cross multiply
    601,924x = 1,283,912 × 1,283,912
  4. Step 4: Simplify right side
    601,924x = 1,648,430,023,744
  5. Step 5: Solve for x
    x = 1,648,430,023,744/601,924
  6. Step 6: Final answer
    x = 2,738,601.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.