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Finding the Third Proportional to 3,220,523 and 6,945,462

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Solution

The third proportional to 3,220,523 and 6,945,462 is: 14,978,760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220,523 : 6,945,462 = 6,945,462 : x
  2. Step 2: Convert to fraction form
    3,220,523/6,945,462 = 6,945,462/x
  3. Step 3: Cross multiply
    3,220,523x = 6,945,462 × 6,945,462
  4. Step 4: Simplify right side
    3,220,523x = 48,239,442,393,444
  5. Step 5: Solve for x
    x = 48,239,442,393,444/3,220,523
  6. Step 6: Final answer
    x = 14,978,760.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.