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Finding the Third Proportional to 4,213,869 and 6,309,261

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Solution

The third proportional to 4,213,869 and 6,309,261 is: 9,446,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213,869 : 6,309,261 = 6,309,261 : x
  2. Step 2: Convert to fraction form
    4,213,869/6,309,261 = 6,309,261/x
  3. Step 3: Cross multiply
    4,213,869x = 6,309,261 × 6,309,261
  4. Step 4: Simplify right side
    4,213,869x = 39,806,774,366,121
  5. Step 5: Solve for x
    x = 39,806,774,366,121/4,213,869
  6. Step 6: Final answer
    x = 9,446,609.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.