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Finding the Third Proportional to 869,832 and 1,330,584

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Solution

The third proportional to 869,832 and 1,330,584 is: 2,035,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,832 : 1,330,584 = 1,330,584 : x
  2. Step 2: Convert to fraction form
    869,832/1,330,584 = 1,330,584/x
  3. Step 3: Cross multiply
    869,832x = 1,330,584 × 1,330,584
  4. Step 4: Simplify right side
    869,832x = 1,770,453,781,056
  5. Step 5: Solve for x
    x = 1,770,453,781,056/869,832
  6. Step 6: Final answer
    x = 2,035,397.39

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