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Finding the Third Proportional to 769,204.13 and 1,194,124.13

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Solution

The third proportional to 769,204.13 and 1,194,124.13 is: 1,853,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,204.13 : 1,194,124.13 = 1,194,124.13 : x
  2. Step 2: Convert to fraction form
    769,204.13/1,194,124.13 = 1,194,124.13/x
  3. Step 3: Cross multiply
    769,204.13x = 1,194,124.13 × 1,194,124.13
  4. Step 4: Simplify right side
    769,204.13x = 1,425,932,425,907.02
  5. Step 5: Solve for x
    x = 1,425,932,425,907.02/769,204.13
  6. Step 6: Final answer
    x = 1,853,776.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.