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Finding the Third Proportional to 932,174 and 1,439,471

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Solution

The third proportional to 932,174 and 1,439,471 is: 2,222,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,174 : 1,439,471 = 1,439,471 : x
  2. Step 2: Convert to fraction form
    932,174/1,439,471 = 1,439,471/x
  3. Step 3: Cross multiply
    932,174x = 1,439,471 × 1,439,471
  4. Step 4: Simplify right side
    932,174x = 2,072,076,759,841
  5. Step 5: Solve for x
    x = 2,072,076,759,841/932,174
  6. Step 6: Final answer
    x = 2,222,843.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.