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Finding the Third Proportional to 494,724 and 1,084,134

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Solution

The third proportional to 494,724 and 1,084,134 is: 2,375,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,724 : 1,084,134 = 1,084,134 : x
  2. Step 2: Convert to fraction form
    494,724/1,084,134 = 1,084,134/x
  3. Step 3: Cross multiply
    494,724x = 1,084,134 × 1,084,134
  4. Step 4: Simplify right side
    494,724x = 1,175,346,529,956
  5. Step 5: Solve for x
    x = 1,175,346,529,956/494,724
  6. Step 6: Final answer
    x = 2,375,762.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.