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Finding the Third Proportional to 510,160 and 1,112,165

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Solution

The third proportional to 510,160 and 1,112,165 is: 2,424,555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,160 : 1,112,165 = 1,112,165 : x
  2. Step 2: Convert to fraction form
    510,160/1,112,165 = 1,112,165/x
  3. Step 3: Cross multiply
    510,160x = 1,112,165 × 1,112,165
  4. Step 4: Simplify right side
    510,160x = 1,236,910,987,225
  5. Step 5: Solve for x
    x = 1,236,910,987,225/510,160
  6. Step 6: Final answer
    x = 2,424,555.02

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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.