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Finding the Third Proportional to 675,056 and 985,917

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Solution

The third proportional to 675,056 and 985,917 is: 1,439,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,056 : 985,917 = 985,917 : x
  2. Step 2: Convert to fraction form
    675,056/985,917 = 985,917/x
  3. Step 3: Cross multiply
    675,056x = 985,917 × 985,917
  4. Step 4: Simplify right side
    675,056x = 972,032,330,889
  5. Step 5: Solve for x
    x = 972,032,330,889/675,056
  6. Step 6: Final answer
    x = 1,439,928.44

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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.