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Finding the Third Proportional to 932,967 and 1,399,509

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Solution

The third proportional to 932,967 and 1,399,509 is: 2,099,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,967 : 1,399,509 = 1,399,509 : x
  2. Step 2: Convert to fraction form
    932,967/1,399,509 = 1,399,509/x
  3. Step 3: Cross multiply
    932,967x = 1,399,509 × 1,399,509
  4. Step 4: Simplify right side
    932,967x = 1,958,625,441,081
  5. Step 5: Solve for x
    x = 1,958,625,441,081/932,967
  6. Step 6: Final answer
    x = 2,099,351.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.