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Finding the Third Proportional to 4,310,786 and 6,762,318

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Solution

The third proportional to 4,310,786 and 6,762,318 is: 10,608,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310,786 : 6,762,318 = 6,762,318 : x
  2. Step 2: Convert to fraction form
    4,310,786/6,762,318 = 6,762,318/x
  3. Step 3: Cross multiply
    4,310,786x = 6,762,318 × 6,762,318
  4. Step 4: Simplify right side
    4,310,786x = 45,728,944,733,124
  5. Step 5: Solve for x
    x = 45,728,944,733,124/4,310,786
  6. Step 6: Final answer
    x = 10,608,029.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.