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Finding the Third Proportional to 837,141.75 and 1,253,849.63

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Solution

The third proportional to 837,141.75 and 1,253,849.63 is: 1,877,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,141.75 : 1,253,849.63 = 1,253,849.63 : x
  2. Step 2: Convert to fraction form
    837,141.75/1,253,849.63 = 1,253,849.63/x
  3. Step 3: Cross multiply
    837,141.75x = 1,253,849.63 × 1,253,849.63
  4. Step 4: Simplify right side
    837,141.75x = 1,572,138,882,112.64
  5. Step 5: Solve for x
    x = 1,572,138,882,112.64/837,141.75
  6. Step 6: Final answer
    x = 1,877,984.08

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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.