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Finding the Third Proportional to 677,778 and 1,467,134

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Solution

The third proportional to 677,778 and 1,467,134 is: 3,175,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,778 : 1,467,134 = 1,467,134 : x
  2. Step 2: Convert to fraction form
    677,778/1,467,134 = 1,467,134/x
  3. Step 3: Cross multiply
    677,778x = 1,467,134 × 1,467,134
  4. Step 4: Simplify right side
    677,778x = 2,152,482,173,956
  5. Step 5: Solve for x
    x = 2,152,482,173,956/677,778
  6. Step 6: Final answer
    x = 3,175,792.33

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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.