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Finding the Third Proportional to 601,839 and 934,895

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Solution

The third proportional to 601,839 and 934,895 is: 1,452,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,839 : 934,895 = 934,895 : x
  2. Step 2: Convert to fraction form
    601,839/934,895 = 934,895/x
  3. Step 3: Cross multiply
    601,839x = 934,895 × 934,895
  4. Step 4: Simplify right side
    601,839x = 874,028,661,025
  5. Step 5: Solve for x
    x = 874,028,661,025/601,839
  6. Step 6: Final answer
    x = 1,452,263.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.