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Finding the Third Proportional to 510,105 and 1,117,166

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Solution

The third proportional to 510,105 and 1,117,166 is: 2,446,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,105 : 1,117,166 = 1,117,166 : x
  2. Step 2: Convert to fraction form
    510,105/1,117,166 = 1,117,166/x
  3. Step 3: Cross multiply
    510,105x = 1,117,166 × 1,117,166
  4. Step 4: Simplify right side
    510,105x = 1,248,059,871,556
  5. Step 5: Solve for x
    x = 1,248,059,871,556/510,105
  6. Step 6: Final answer
    x = 2,446,672.49

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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.