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Finding the Third Proportional to 676,591 and 1,458,956

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Solution

The third proportional to 676,591 and 1,458,956 is: 3,145,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,591 : 1,458,956 = 1,458,956 : x
  2. Step 2: Convert to fraction form
    676,591/1,458,956 = 1,458,956/x
  3. Step 3: Cross multiply
    676,591x = 1,458,956 × 1,458,956
  4. Step 4: Simplify right side
    676,591x = 2,128,552,609,936
  5. Step 5: Solve for x
    x = 2,128,552,609,936/676,591
  6. Step 6: Final answer
    x = 3,145,996.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.