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Finding the Third Proportional to 813,923.44 and 1,739,961

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Solution

The third proportional to 813,923.44 and 1,739,961 is: 3,719,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,923.44 : 1,739,961 = 1,739,961 : x
  2. Step 2: Convert to fraction form
    813,923.44/1,739,961 = 1,739,961/x
  3. Step 3: Cross multiply
    813,923.44x = 1,739,961 × 1,739,961
  4. Step 4: Simplify right side
    813,923.44x = 3,027,464,281,521
  5. Step 5: Solve for x
    x = 3,027,464,281,521/813,923.44
  6. Step 6: Final answer
    x = 3,719,593.44

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Why These Related Problems?

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