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Finding the Third Proportional to 510,678 and 1,110,861

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Solution

The third proportional to 510,678 and 1,110,861 is: 2,416,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,678 : 1,110,861 = 1,110,861 : x
  2. Step 2: Convert to fraction form
    510,678/1,110,861 = 1,110,861/x
  3. Step 3: Cross multiply
    510,678x = 1,110,861 × 1,110,861
  4. Step 4: Simplify right side
    510,678x = 1,234,012,161,321
  5. Step 5: Solve for x
    x = 1,234,012,161,321/510,678
  6. Step 6: Final answer
    x = 2,416,419.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.