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Finding the Third Proportional to 867,544.88 and 1,296,214.31

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Solution

The third proportional to 867,544.88 and 1,296,214.31 is: 1,936,696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,544.88 : 1,296,214.31 = 1,296,214.31 : x
  2. Step 2: Convert to fraction form
    867,544.88/1,296,214.31 = 1,296,214.31/x
  3. Step 3: Cross multiply
    867,544.88x = 1,296,214.31 × 1,296,214.31
  4. Step 4: Simplify right side
    867,544.88x = 1,680,171,543,929.85
  5. Step 5: Solve for x
    x = 1,680,171,543,929.85/867,544.88
  6. Step 6: Final answer
    x = 1,936,696.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.