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Finding the Third Proportional to 856,028.25 and 1,281,369.38

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Solution

The third proportional to 856,028.25 and 1,281,369.38 is: 1,918,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,028.25 : 1,281,369.38 = 1,281,369.38 : x
  2. Step 2: Convert to fraction form
    856,028.25/1,281,369.38 = 1,281,369.38/x
  3. Step 3: Cross multiply
    856,028.25x = 1,281,369.38 × 1,281,369.38
  4. Step 4: Simplify right side
    856,028.25x = 1,641,907,475,187.89
  5. Step 5: Solve for x
    x = 1,641,907,475,187.89/856,028.25
  6. Step 6: Final answer
    x = 1,918,052.91

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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.