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Finding the Third Proportional to 3,172,869 and 4,766,337

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Solution

The third proportional to 3,172,869 and 4,766,337 is: 7,160,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172,869 : 4,766,337 = 4,766,337 : x
  2. Step 2: Convert to fraction form
    3,172,869/4,766,337 = 4,766,337/x
  3. Step 3: Cross multiply
    3,172,869x = 4,766,337 × 4,766,337
  4. Step 4: Simplify right side
    3,172,869x = 22,717,968,397,569
  5. Step 5: Solve for x
    x = 22,717,968,397,569/3,172,869
  6. Step 6: Final answer
    x = 7,160,071.34

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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.