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Finding the Third Proportional to 510,175 and 1,112,208

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Solution

The third proportional to 510,175 and 1,112,208 is: 2,424,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,175 : 1,112,208 = 1,112,208 : x
  2. Step 2: Convert to fraction form
    510,175/1,112,208 = 1,112,208/x
  3. Step 3: Cross multiply
    510,175x = 1,112,208 × 1,112,208
  4. Step 4: Simplify right side
    510,175x = 1,237,006,635,264
  5. Step 5: Solve for x
    x = 1,237,006,635,264/510,175
  6. Step 6: Final answer
    x = 2,424,671.21

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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.