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Finding the Third Proportional to 785,296 and 1,222,872

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Solution

The third proportional to 785,296 and 1,222,872 is: 1,904,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,296 : 1,222,872 = 1,222,872 : x
  2. Step 2: Convert to fraction form
    785,296/1,222,872 = 1,222,872/x
  3. Step 3: Cross multiply
    785,296x = 1,222,872 × 1,222,872
  4. Step 4: Simplify right side
    785,296x = 1,495,415,928,384
  5. Step 5: Solve for x
    x = 1,495,415,928,384/785,296
  6. Step 6: Final answer
    x = 1,904,270.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.