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Finding the Third Proportional to 599,725 and 1,288,374

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Solution

The third proportional to 599,725 and 1,288,374 is: 2,767,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,725 : 1,288,374 = 1,288,374 : x
  2. Step 2: Convert to fraction form
    599,725/1,288,374 = 1,288,374/x
  3. Step 3: Cross multiply
    599,725x = 1,288,374 × 1,288,374
  4. Step 4: Simplify right side
    599,725x = 1,659,907,563,876
  5. Step 5: Solve for x
    x = 1,659,907,563,876/599,725
  6. Step 6: Final answer
    x = 2,767,781.17

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