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Finding the Third Proportional to 1,872,265.50 and 4,028,942.25

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Solution

The third proportional to 1,872,265.50 and 4,028,942.25 is: 8,669,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872,265.50 : 4,028,942.25 = 4,028,942.25 : x
  2. Step 2: Convert to fraction form
    1,872,265.50/4,028,942.25 = 4,028,942.25/x
  3. Step 3: Cross multiply
    1,872,265.50x = 4,028,942.25 × 4,028,942.25
  4. Step 4: Simplify right side
    1,872,265.50x = 16,232,375,653,835.06
  5. Step 5: Solve for x
    x = 16,232,375,653,835.06/1,872,265.50
  6. Step 6: Final answer
    x = 8,669,911.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.