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Finding the Third Proportional to 675,015 and 985,866

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Solution

The third proportional to 675,015 and 985,866 is: 1,439,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,015 : 985,866 = 985,866 : x
  2. Step 2: Convert to fraction form
    675,015/985,866 = 985,866/x
  3. Step 3: Cross multiply
    675,015x = 985,866 × 985,866
  4. Step 4: Simplify right side
    675,015x = 971,931,769,956
  5. Step 5: Solve for x
    x = 971,931,769,956/675,015
  6. Step 6: Final answer
    x = 1,439,866.92

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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.