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Finding the Third Proportional to 1,387,830 and 2,177,589

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Solution

The third proportional to 1,387,830 and 2,177,589 is: 3,416,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,830 : 2,177,589 = 2,177,589 : x
  2. Step 2: Convert to fraction form
    1,387,830/2,177,589 = 2,177,589/x
  3. Step 3: Cross multiply
    1,387,830x = 2,177,589 × 2,177,589
  4. Step 4: Simplify right side
    1,387,830x = 4,741,893,852,921
  5. Step 5: Solve for x
    x = 4,741,893,852,921/1,387,830
  6. Step 6: Final answer
    x = 3,416,768.52

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.