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Finding the Third Proportional to 675,689 and 1,468,987

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Solution

The third proportional to 675,689 and 1,468,987 is: 3,193,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,689 : 1,468,987 = 1,468,987 : x
  2. Step 2: Convert to fraction form
    675,689/1,468,987 = 1,468,987/x
  3. Step 3: Cross multiply
    675,689x = 1,468,987 × 1,468,987
  4. Step 4: Simplify right side
    675,689x = 2,157,922,806,169
  5. Step 5: Solve for x
    x = 2,157,922,806,169/675,689
  6. Step 6: Final answer
    x = 3,193,662.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.