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Finding the Third Proportional to 3,214,728 and 4,863,420

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Solution

The third proportional to 3,214,728 and 4,863,420 is: 7,357,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,728 : 4,863,420 = 4,863,420 : x
  2. Step 2: Convert to fraction form
    3,214,728/4,863,420 = 4,863,420/x
  3. Step 3: Cross multiply
    3,214,728x = 4,863,420 × 4,863,420
  4. Step 4: Simplify right side
    3,214,728x = 23,652,854,096,400
  5. Step 5: Solve for x
    x = 23,652,854,096,400/3,214,728
  6. Step 6: Final answer
    x = 7,357,653.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.