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Finding the Third Proportional to 510,103 and 1,117,162

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Solution

The third proportional to 510,103 and 1,117,162 is: 2,446,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,103 : 1,117,162 = 1,117,162 : x
  2. Step 2: Convert to fraction form
    510,103/1,117,162 = 1,117,162/x
  3. Step 3: Cross multiply
    510,103x = 1,117,162 × 1,117,162
  4. Step 4: Simplify right side
    510,103x = 1,248,050,934,244
  5. Step 5: Solve for x
    x = 1,248,050,934,244/510,103
  6. Step 6: Final answer
    x = 2,446,664.56

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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.