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Finding the Third Proportional to 3,652,004 and 5,677,350

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Solution

The third proportional to 3,652,004 and 5,677,350 is: 8,825,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652,004 : 5,677,350 = 5,677,350 : x
  2. Step 2: Convert to fraction form
    3,652,004/5,677,350 = 5,677,350/x
  3. Step 3: Cross multiply
    3,652,004x = 5,677,350 × 5,677,350
  4. Step 4: Simplify right side
    3,652,004x = 32,232,303,022,500
  5. Step 5: Solve for x
    x = 32,232,303,022,500/3,652,004
  6. Step 6: Final answer
    x = 8,825,922.16

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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.