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Finding the Third Proportional to 4,256,963 and 6,379,209

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Solution

The third proportional to 4,256,963 and 6,379,209 is: 9,559,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256,963 : 6,379,209 = 6,379,209 : x
  2. Step 2: Convert to fraction form
    4,256,963/6,379,209 = 6,379,209/x
  3. Step 3: Cross multiply
    4,256,963x = 6,379,209 × 6,379,209
  4. Step 4: Simplify right side
    4,256,963x = 40,694,307,465,681
  5. Step 5: Solve for x
    x = 40,694,307,465,681/4,256,963
  6. Step 6: Final answer
    x = 9,559,469.38

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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.