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Finding the Third Proportional to 4,921,869 and 7,703,380

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Solution

The third proportional to 4,921,869 and 7,703,380 is: 12,056,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921,869 : 7,703,380 = 7,703,380 : x
  2. Step 2: Convert to fraction form
    4,921,869/7,703,380 = 7,703,380/x
  3. Step 3: Cross multiply
    4,921,869x = 7,703,380 × 7,703,380
  4. Step 4: Simplify right side
    4,921,869x = 59,342,063,424,400
  5. Step 5: Solve for x
    x = 59,342,063,424,400/4,921,869
  6. Step 6: Final answer
    x = 12,056,814.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.