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Finding the Third Proportional to 4,520,576 and 6,826,944

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Solution

The third proportional to 4,520,576 and 6,826,944 is: 10,310,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520,576 : 6,826,944 = 6,826,944 : x
  2. Step 2: Convert to fraction form
    4,520,576/6,826,944 = 6,826,944/x
  3. Step 3: Cross multiply
    4,520,576x = 6,826,944 × 6,826,944
  4. Step 4: Simplify right side
    4,520,576x = 46,607,164,379,136
  5. Step 5: Solve for x
    x = 46,607,164,379,136/4,520,576
  6. Step 6: Final answer
    x = 10,310,005.71

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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.