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Finding the Third Proportional to 500,983 and 1,074,830

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Solution

The third proportional to 500,983 and 1,074,830 is: 2,305,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,983 : 1,074,830 = 1,074,830 : x
  2. Step 2: Convert to fraction form
    500,983/1,074,830 = 1,074,830/x
  3. Step 3: Cross multiply
    500,983x = 1,074,830 × 1,074,830
  4. Step 4: Simplify right side
    500,983x = 1,155,259,528,900
  5. Step 5: Solve for x
    x = 1,155,259,528,900/500,983
  6. Step 6: Final answer
    x = 2,305,985.49

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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.