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Finding the Third Proportional to 777,732 and 1,199,790

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Solution

The third proportional to 777,732 and 1,199,790 is: 1,850,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,732 : 1,199,790 = 1,199,790 : x
  2. Step 2: Convert to fraction form
    777,732/1,199,790 = 1,199,790/x
  3. Step 3: Cross multiply
    777,732x = 1,199,790 × 1,199,790
  4. Step 4: Simplify right side
    777,732x = 1,439,496,044,100
  5. Step 5: Solve for x
    x = 1,439,496,044,100/777,732
  6. Step 6: Final answer
    x = 1,850,889.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.