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Finding the Third Proportional to 589,342 and 906,387

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Solution

The third proportional to 589,342 and 906,387 is: 1,393,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,342 : 906,387 = 906,387 : x
  2. Step 2: Convert to fraction form
    589,342/906,387 = 906,387/x
  3. Step 3: Cross multiply
    589,342x = 906,387 × 906,387
  4. Step 4: Simplify right side
    589,342x = 821,537,393,769
  5. Step 5: Solve for x
    x = 821,537,393,769/589,342
  6. Step 6: Final answer
    x = 1,393,990.91

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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.