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Finding the Third Proportional to 428,397 and 930,540

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Solution

The third proportional to 428,397 and 930,540 is: 2,021,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,397 : 930,540 = 930,540 : x
  2. Step 2: Convert to fraction form
    428,397/930,540 = 930,540/x
  3. Step 3: Cross multiply
    428,397x = 930,540 × 930,540
  4. Step 4: Simplify right side
    428,397x = 865,904,691,600
  5. Step 5: Solve for x
    x = 865,904,691,600/428,397
  6. Step 6: Final answer
    x = 2,021,266.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.