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Finding the Third Proportional to 675,048.94 and 985,911.75

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Solution

The third proportional to 675,048.94 and 985,911.75 is: 1,439,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,048.94 : 985,911.75 = 985,911.75 : x
  2. Step 2: Convert to fraction form
    675,048.94/985,911.75 = 985,911.75/x
  3. Step 3: Cross multiply
    675,048.94x = 985,911.75 × 985,911.75
  4. Step 4: Simplify right side
    675,048.94x = 972,021,978,788.06
  5. Step 5: Solve for x
    x = 972,021,978,788.06/675,048.94
  6. Step 6: Final answer
    x = 1,439,928.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.