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Finding the Third Proportional to 881,945.72 and 1,869,866.44

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Solution

The third proportional to 881,945.72 and 1,869,866.44 is: 3,964,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,945.72 : 1,869,866.44 = 1,869,866.44 : x
  2. Step 2: Convert to fraction form
    881,945.72/1,869,866.44 = 1,869,866.44/x
  3. Step 3: Cross multiply
    881,945.72x = 1,869,866.44 × 1,869,866.44
  4. Step 4: Simplify right side
    881,945.72x = 3,496,400,494,088.94
  5. Step 5: Solve for x
    x = 3,496,400,494,088.94/881,945.72
  6. Step 6: Final answer
    x = 3,964,416.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.