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Finding the Third Proportional to 2,173,016 and 4,723,870

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Solution

The third proportional to 2,173,016 and 4,723,870 is: 10,269,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,016 : 4,723,870 = 4,723,870 : x
  2. Step 2: Convert to fraction form
    2,173,016/4,723,870 = 4,723,870/x
  3. Step 3: Cross multiply
    2,173,016x = 4,723,870 × 4,723,870
  4. Step 4: Simplify right side
    2,173,016x = 22,314,947,776,900
  5. Step 5: Solve for x
    x = 22,314,947,776,900/2,173,016
  6. Step 6: Final answer
    x = 10,269,113.42

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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.