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Finding the Third Proportional to 517,029 and 1,093,671

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Solution

The third proportional to 517,029 and 1,093,671 is: 2,313,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,029 : 1,093,671 = 1,093,671 : x
  2. Step 2: Convert to fraction form
    517,029/1,093,671 = 1,093,671/x
  3. Step 3: Cross multiply
    517,029x = 1,093,671 × 1,093,671
  4. Step 4: Simplify right side
    517,029x = 1,196,116,256,241
  5. Step 5: Solve for x
    x = 1,196,116,256,241/517,029
  6. Step 6: Final answer
    x = 2,313,441.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.