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Finding the Third Proportional to 686,145.94 and 1,449,537.19

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Solution

The third proportional to 686,145.94 and 1,449,537.19 is: 3,062,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,145.94 : 1,449,537.19 = 1,449,537.19 : x
  2. Step 2: Convert to fraction form
    686,145.94/1,449,537.19 = 1,449,537.19/x
  3. Step 3: Cross multiply
    686,145.94x = 1,449,537.19 × 1,449,537.19
  4. Step 4: Simplify right side
    686,145.94x = 2,101,158,057,945.41
  5. Step 5: Solve for x
    x = 2,101,158,057,945.41/686,145.94
  6. Step 6: Final answer
    x = 3,062,261.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.