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Finding the Third Proportional to 717,531 and 1,538,094

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Solution

The third proportional to 717,531 and 1,538,094 is: 3,297,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,531 : 1,538,094 = 1,538,094 : x
  2. Step 2: Convert to fraction form
    717,531/1,538,094 = 1,538,094/x
  3. Step 3: Cross multiply
    717,531x = 1,538,094 × 1,538,094
  4. Step 4: Simplify right side
    717,531x = 2,365,733,152,836
  5. Step 5: Solve for x
    x = 2,365,733,152,836/717,531
  6. Step 6: Final answer
    x = 3,297,046.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.