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Finding the Third Proportional to 965,783.25 and 2,011,042.05

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Solution

The third proportional to 965,783.25 and 2,011,042.05 is: 4,187,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,783.25 : 2,011,042.05 = 2,011,042.05 : x
  2. Step 2: Convert to fraction form
    965,783.25/2,011,042.05 = 2,011,042.05/x
  3. Step 3: Cross multiply
    965,783.25x = 2,011,042.05 × 2,011,042.05
  4. Step 4: Simplify right side
    965,783.25x = 4,044,290,145,721.72
  5. Step 5: Solve for x
    x = 4,044,290,145,721.72/965,783.25
  6. Step 6: Final answer
    x = 4,187,575.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.