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Finding the Third Proportional to 4,757,942 and 6,782,619

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Solution

The third proportional to 4,757,942 and 6,782,619 is: 9,668,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757,942 : 6,782,619 = 6,782,619 : x
  2. Step 2: Convert to fraction form
    4,757,942/6,782,619 = 6,782,619/x
  3. Step 3: Cross multiply
    4,757,942x = 6,782,619 × 6,782,619
  4. Step 4: Simplify right side
    4,757,942x = 46,003,920,499,161
  5. Step 5: Solve for x
    x = 46,003,920,499,161/4,757,942
  6. Step 6: Final answer
    x = 9,668,869.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.