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Finding the Third Proportional to 987,016 and 2,143,156

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Solution

The third proportional to 987,016 and 2,143,156 is: 4,653,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,016 : 2,143,156 = 2,143,156 : x
  2. Step 2: Convert to fraction form
    987,016/2,143,156 = 2,143,156/x
  3. Step 3: Cross multiply
    987,016x = 2,143,156 × 2,143,156
  4. Step 4: Simplify right side
    987,016x = 4,593,117,640,336
  5. Step 5: Solve for x
    x = 4,593,117,640,336/987,016
  6. Step 6: Final answer
    x = 4,653,539.19

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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.