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Finding the Third Proportional to 782,869 and 1,199,576

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Solution

The third proportional to 782,869 and 1,199,576 is: 1,838,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,869 : 1,199,576 = 1,199,576 : x
  2. Step 2: Convert to fraction form
    782,869/1,199,576 = 1,199,576/x
  3. Step 3: Cross multiply
    782,869x = 1,199,576 × 1,199,576
  4. Step 4: Simplify right side
    782,869x = 1,438,982,579,776
  5. Step 5: Solve for x
    x = 1,438,982,579,776/782,869
  6. Step 6: Final answer
    x = 1,838,088.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.