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Finding the Third Proportional to 501,419 and 1,072,822

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Solution

The third proportional to 501,419 and 1,072,822 is: 2,295,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,419 : 1,072,822 = 1,072,822 : x
  2. Step 2: Convert to fraction form
    501,419/1,072,822 = 1,072,822/x
  3. Step 3: Cross multiply
    501,419x = 1,072,822 × 1,072,822
  4. Step 4: Simplify right side
    501,419x = 1,150,947,043,684
  5. Step 5: Solve for x
    x = 1,150,947,043,684/501,419
  6. Step 6: Final answer
    x = 2,295,379.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.