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Finding the Third Proportional to 595,869 and 911,684

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Solution

The third proportional to 595,869 and 911,684 is: 1,394,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,869 : 911,684 = 911,684 : x
  2. Step 2: Convert to fraction form
    595,869/911,684 = 911,684/x
  3. Step 3: Cross multiply
    595,869x = 911,684 × 911,684
  4. Step 4: Simplify right side
    595,869x = 831,167,715,856
  5. Step 5: Solve for x
    x = 831,167,715,856/595,869
  6. Step 6: Final answer
    x = 1,394,883.30

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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.