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Finding the Third Proportional to 632,208 and 1,369,392

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Solution

The third proportional to 632,208 and 1,369,392 is: 2,966,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,208 : 1,369,392 = 1,369,392 : x
  2. Step 2: Convert to fraction form
    632,208/1,369,392 = 1,369,392/x
  3. Step 3: Cross multiply
    632,208x = 1,369,392 × 1,369,392
  4. Step 4: Simplify right side
    632,208x = 1,875,234,449,664
  5. Step 5: Solve for x
    x = 1,875,234,449,664/632,208
  6. Step 6: Final answer
    x = 2,966,166.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.