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Finding the Third Proportional to 668,288 and 1,468,894

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Solution

The third proportional to 668,288 and 1,468,894 is: 3,228,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,288 : 1,468,894 = 1,468,894 : x
  2. Step 2: Convert to fraction form
    668,288/1,468,894 = 1,468,894/x
  3. Step 3: Cross multiply
    668,288x = 1,468,894 × 1,468,894
  4. Step 4: Simplify right side
    668,288x = 2,157,649,583,236
  5. Step 5: Solve for x
    x = 2,157,649,583,236/668,288
  6. Step 6: Final answer
    x = 3,228,622.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.