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Finding the Third Proportional to 602,736 and 911,874

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Solution

The third proportional to 602,736 and 911,874 is: 1,379,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,736 : 911,874 = 911,874 : x
  2. Step 2: Convert to fraction form
    602,736/911,874 = 911,874/x
  3. Step 3: Cross multiply
    602,736x = 911,874 × 911,874
  4. Step 4: Simplify right side
    602,736x = 831,514,191,876
  5. Step 5: Solve for x
    x = 831,514,191,876/602,736
  6. Step 6: Final answer
    x = 1,379,566.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.