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Finding the Third Proportional to 1,200,394.69 and 1,800,635.06

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Solution

The third proportional to 1,200,394.69 and 1,800,635.06 is: 2,701,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,394.69 : 1,800,635.06 = 1,800,635.06 : x
  2. Step 2: Convert to fraction form
    1,200,394.69/1,800,635.06 = 1,800,635.06/x
  3. Step 3: Cross multiply
    1,200,394.69x = 1,800,635.06 × 1,800,635.06
  4. Step 4: Simplify right side
    1,200,394.69x = 3,242,286,628,304.38
  5. Step 5: Solve for x
    x = 3,242,286,628,304.38/1,200,394.69
  6. Step 6: Final answer
    x = 2,701,017.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.