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Finding the Third Proportional to 4,166,942 and 6,261,510

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Solution

The third proportional to 4,166,942 and 6,261,510 is: 9,408,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166,942 : 6,261,510 = 6,261,510 : x
  2. Step 2: Convert to fraction form
    4,166,942/6,261,510 = 6,261,510/x
  3. Step 3: Cross multiply
    4,166,942x = 6,261,510 × 6,261,510
  4. Step 4: Simplify right side
    4,166,942x = 39,206,507,480,100
  5. Step 5: Solve for x
    x = 39,206,507,480,100/4,166,942
  6. Step 6: Final answer
    x = 9,408,940.05

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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.