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Finding the Third Proportional to 668,292 and 1,468,902

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Solution

The third proportional to 668,292 and 1,468,902 is: 3,228,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,292 : 1,468,902 = 1,468,902 : x
  2. Step 2: Convert to fraction form
    668,292/1,468,902 = 1,468,902/x
  3. Step 3: Cross multiply
    668,292x = 1,468,902 × 1,468,902
  4. Step 4: Simplify right side
    668,292x = 2,157,673,085,604
  5. Step 5: Solve for x
    x = 2,157,673,085,604/668,292
  6. Step 6: Final answer
    x = 3,228,638.21

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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.