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Finding the Third Proportional to 497,415.94 and 1,074,249.84

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Solution

The third proportional to 497,415.94 and 1,074,249.84 is: 2,320,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,415.94 : 1,074,249.84 = 1,074,249.84 : x
  2. Step 2: Convert to fraction form
    497,415.94/1,074,249.84 = 1,074,249.84/x
  3. Step 3: Cross multiply
    497,415.94x = 1,074,249.84 × 1,074,249.84
  4. Step 4: Simplify right side
    497,415.94x = 1,154,012,726,796.90
  5. Step 5: Solve for x
    x = 1,154,012,726,796.90/497,415.94
  6. Step 6: Final answer
    x = 2,320,015.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.