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Finding the Third Proportional to 500,979 and 1,074,822

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Solution

The third proportional to 500,979 and 1,074,822 is: 2,305,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,979 : 1,074,822 = 1,074,822 : x
  2. Step 2: Convert to fraction form
    500,979/1,074,822 = 1,074,822/x
  3. Step 3: Cross multiply
    500,979x = 1,074,822 × 1,074,822
  4. Step 4: Simplify right side
    500,979x = 1,155,242,331,684
  5. Step 5: Solve for x
    x = 1,155,242,331,684/500,979
  6. Step 6: Final answer
    x = 2,305,969.57

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Why These Related Problems?

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