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Finding the Third Proportional to 748,191.94 and 1,120,748.91

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Solution

The third proportional to 748,191.94 and 1,120,748.91 is: 1,678,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,191.94 : 1,120,748.91 = 1,120,748.91 : x
  2. Step 2: Convert to fraction form
    748,191.94/1,120,748.91 = 1,120,748.91/x
  3. Step 3: Cross multiply
    748,191.94x = 1,120,748.91 × 1,120,748.91
  4. Step 4: Simplify right side
    748,191.94x = 1,256,078,110,860.57
  5. Step 5: Solve for x
    x = 1,256,078,110,860.57/748,191.94
  6. Step 6: Final answer
    x = 1,678,818.03

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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.