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Finding the Third Proportional to 3,214,710 and 4,863,393

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Solution

The third proportional to 3,214,710 and 4,863,393 is: 7,357,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,710 : 4,863,393 = 4,863,393 : x
  2. Step 2: Convert to fraction form
    3,214,710/4,863,393 = 4,863,393/x
  3. Step 3: Cross multiply
    3,214,710x = 4,863,393 × 4,863,393
  4. Step 4: Simplify right side
    3,214,710x = 23,652,591,472,449
  5. Step 5: Solve for x
    x = 23,652,591,472,449/3,214,710
  6. Step 6: Final answer
    x = 7,357,612.81

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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.