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Finding the Third Proportional to 668,188 and 1,439,774

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Solution

The third proportional to 668,188 and 1,439,774 is: 3,102,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,188 : 1,439,774 = 1,439,774 : x
  2. Step 2: Convert to fraction form
    668,188/1,439,774 = 1,439,774/x
  3. Step 3: Cross multiply
    668,188x = 1,439,774 × 1,439,774
  4. Step 4: Simplify right side
    668,188x = 2,072,949,171,076
  5. Step 5: Solve for x
    x = 2,072,949,171,076/668,188
  6. Step 6: Final answer
    x = 3,102,344.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.