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Finding the Third Proportional to 668,286 and 1,468,890

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Solution

The third proportional to 668,286 and 1,468,890 is: 3,228,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,286 : 1,468,890 = 1,468,890 : x
  2. Step 2: Convert to fraction form
    668,286/1,468,890 = 1,468,890/x
  3. Step 3: Cross multiply
    668,286x = 1,468,890 × 1,468,890
  4. Step 4: Simplify right side
    668,286x = 2,157,637,832,100
  5. Step 5: Solve for x
    x = 2,157,637,832,100/668,286
  6. Step 6: Final answer
    x = 3,228,614.44

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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.