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Finding the Third Proportional to 672,668 and 983,102

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Solution

The third proportional to 672,668 and 983,102 is: 1,436,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,668 : 983,102 = 983,102 : x
  2. Step 2: Convert to fraction form
    672,668/983,102 = 983,102/x
  3. Step 3: Cross multiply
    672,668x = 983,102 × 983,102
  4. Step 4: Simplify right side
    672,668x = 966,489,542,404
  5. Step 5: Solve for x
    x = 966,489,542,404/672,668
  6. Step 6: Final answer
    x = 1,436,800.24

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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.