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Finding the Third Proportional to 514,137.80 and 1,114,081.17

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Solution

The third proportional to 514,137.80 and 1,114,081.17 is: 2,414,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,137.80 : 1,114,081.17 = 1,114,081.17 : x
  2. Step 2: Convert to fraction form
    514,137.80/1,114,081.17 = 1,114,081.17/x
  3. Step 3: Cross multiply
    514,137.80x = 1,114,081.17 × 1,114,081.17
  4. Step 4: Simplify right side
    514,137.80x = 1,241,176,857,526.37
  5. Step 5: Solve for x
    x = 1,241,176,857,526.37/514,137.80
  6. Step 6: Final answer
    x = 2,414,093.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.