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Finding the Third Proportional to 957,874 and 1,394,689

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Solution

The third proportional to 957,874 and 1,394,689 is: 2,030,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,874 : 1,394,689 = 1,394,689 : x
  2. Step 2: Convert to fraction form
    957,874/1,394,689 = 1,394,689/x
  3. Step 3: Cross multiply
    957,874x = 1,394,689 × 1,394,689
  4. Step 4: Simplify right side
    957,874x = 1,945,157,406,721
  5. Step 5: Solve for x
    x = 1,945,157,406,721/957,874
  6. Step 6: Final answer
    x = 2,030,702.79

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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.