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Finding the Third Proportional to 3,678,367 and 6,056,814

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Solution

The third proportional to 3,678,367 and 6,056,814 is: 9,973,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678,367 : 6,056,814 = 6,056,814 : x
  2. Step 2: Convert to fraction form
    3,678,367/6,056,814 = 6,056,814/x
  3. Step 3: Cross multiply
    3,678,367x = 6,056,814 × 6,056,814
  4. Step 4: Simplify right side
    3,678,367x = 36,684,995,830,596
  5. Step 5: Solve for x
    x = 36,684,995,830,596/3,678,367
  6. Step 6: Final answer
    x = 9,973,174.46

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.