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Finding the Third Proportional to 3,652,002 and 5,677,347

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Solution

The third proportional to 3,652,002 and 5,677,347 is: 8,825,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652,002 : 5,677,347 = 5,677,347 : x
  2. Step 2: Convert to fraction form
    3,652,002/5,677,347 = 5,677,347/x
  3. Step 3: Cross multiply
    3,652,002x = 5,677,347 × 5,677,347
  4. Step 4: Simplify right side
    3,652,002x = 32,232,268,958,409
  5. Step 5: Solve for x
    x = 32,232,268,958,409/3,652,002
  6. Step 6: Final answer
    x = 8,825,917.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.