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Finding the Third Proportional to 4,340,762 and 6,385,695

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Solution

The third proportional to 4,340,762 and 6,385,695 is: 9,393,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340,762 : 6,385,695 = 6,385,695 : x
  2. Step 2: Convert to fraction form
    4,340,762/6,385,695 = 6,385,695/x
  3. Step 3: Cross multiply
    4,340,762x = 6,385,695 × 6,385,695
  4. Step 4: Simplify right side
    4,340,762x = 40,777,100,633,025
  5. Step 5: Solve for x
    x = 40,777,100,633,025/4,340,762
  6. Step 6: Final answer
    x = 9,393,995.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.