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Finding the Third Proportional to 512,686.50 and 1,104,261

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Solution

The third proportional to 512,686.50 and 1,104,261 is: 2,378,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,686.50 : 1,104,261 = 1,104,261 : x
  2. Step 2: Convert to fraction form
    512,686.50/1,104,261 = 1,104,261/x
  3. Step 3: Cross multiply
    512,686.50x = 1,104,261 × 1,104,261
  4. Step 4: Simplify right side
    512,686.50x = 1,219,392,356,121
  5. Step 5: Solve for x
    x = 1,219,392,356,121/512,686.50
  6. Step 6: Final answer
    x = 2,378,436.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.