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Finding the Third Proportional to 934,296 and 1,424,772

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Solution

The third proportional to 934,296 and 1,424,772 is: 2,172,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,296 : 1,424,772 = 1,424,772 : x
  2. Step 2: Convert to fraction form
    934,296/1,424,772 = 1,424,772/x
  3. Step 3: Cross multiply
    934,296x = 1,424,772 × 1,424,772
  4. Step 4: Simplify right side
    934,296x = 2,029,975,251,984
  5. Step 5: Solve for x
    x = 2,029,975,251,984/934,296
  6. Step 6: Final answer
    x = 2,172,732.47

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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.