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Finding the Third Proportional to 1,414,969.88 and 2,206,530.42

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Solution

The third proportional to 1,414,969.88 and 2,206,530.42 is: 3,440,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,969.88 : 2,206,530.42 = 2,206,530.42 : x
  2. Step 2: Convert to fraction form
    1,414,969.88/2,206,530.42 = 2,206,530.42/x
  3. Step 3: Cross multiply
    1,414,969.88x = 2,206,530.42 × 2,206,530.42
  4. Step 4: Simplify right side
    1,414,969.88x = 4,868,776,502,659.87
  5. Step 5: Solve for x
    x = 4,868,776,502,659.87/1,414,969.88
  6. Step 6: Final answer
    x = 3,440,904.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.