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Finding the Third Proportional to 1,605,463.88 and 2,201,524.31

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Solution

The third proportional to 1,605,463.88 and 2,201,524.31 is: 3,018,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,463.88 : 2,201,524.31 = 2,201,524.31 : x
  2. Step 2: Convert to fraction form
    1,605,463.88/2,201,524.31 = 2,201,524.31/x
  3. Step 3: Cross multiply
    1,605,463.88x = 2,201,524.31 × 2,201,524.31
  4. Step 4: Simplify right side
    1,605,463.88x = 4,846,709,298,528.60
  5. Step 5: Solve for x
    x = 4,846,709,298,528.60/1,605,463.88
  6. Step 6: Final answer
    x = 3,018,884.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.