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Finding the Third Proportional to 583,832 and 1,242,994

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Solution

The third proportional to 583,832 and 1,242,994 is: 2,646,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,832 : 1,242,994 = 1,242,994 : x
  2. Step 2: Convert to fraction form
    583,832/1,242,994 = 1,242,994/x
  3. Step 3: Cross multiply
    583,832x = 1,242,994 × 1,242,994
  4. Step 4: Simplify right side
    583,832x = 1,545,034,084,036
  5. Step 5: Solve for x
    x = 1,545,034,084,036/583,832
  6. Step 6: Final answer
    x = 2,646,367.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.