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Finding the Third Proportional to 1,082,005.25 and 1,681,994

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Solution

The third proportional to 1,082,005.25 and 1,681,994 is: 2,614,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,005.25 : 1,681,994 = 1,681,994 : x
  2. Step 2: Convert to fraction form
    1,082,005.25/1,681,994 = 1,681,994/x
  3. Step 3: Cross multiply
    1,082,005.25x = 1,681,994 × 1,681,994
  4. Step 4: Simplify right side
    1,082,005.25x = 2,829,103,816,036
  5. Step 5: Solve for x
    x = 2,829,103,816,036/1,082,005.25
  6. Step 6: Final answer
    x = 2,614,685.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.