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Finding the Third Proportional to 2,193,207 and 4,890,689

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Solution

The third proportional to 2,193,207 and 4,890,689 is: 10,905,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193,207 : 4,890,689 = 4,890,689 : x
  2. Step 2: Convert to fraction form
    2,193,207/4,890,689 = 4,890,689/x
  3. Step 3: Cross multiply
    2,193,207x = 4,890,689 × 4,890,689
  4. Step 4: Simplify right side
    2,193,207x = 23,918,838,894,721
  5. Step 5: Solve for x
    x = 23,918,838,894,721/2,193,207
  6. Step 6: Final answer
    x = 10,905,873.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.