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Finding the Third Proportional to 521,625.38 and 1,112,144.63

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Solution

The third proportional to 521,625.38 and 1,112,144.63 is: 2,371,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,625.38 : 1,112,144.63 = 1,112,144.63 : x
  2. Step 2: Convert to fraction form
    521,625.38/1,112,144.63 = 1,112,144.63/x
  3. Step 3: Cross multiply
    521,625.38x = 1,112,144.63 × 1,112,144.63
  4. Step 4: Simplify right side
    521,625.38x = 1,236,865,666,916.39
  5. Step 5: Solve for x
    x = 1,236,865,666,916.39/521,625.38
  6. Step 6: Final answer
    x = 2,371,176.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.