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Finding the Third Proportional to 602,646 and 911,745

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Solution

The third proportional to 602,646 and 911,745 is: 1,379,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,646 : 911,745 = 911,745 : x
  2. Step 2: Convert to fraction form
    602,646/911,745 = 911,745/x
  3. Step 3: Cross multiply
    602,646x = 911,745 × 911,745
  4. Step 4: Simplify right side
    602,646x = 831,278,945,025
  5. Step 5: Solve for x
    x = 831,278,945,025/602,646
  6. Step 6: Final answer
    x = 1,379,381.83

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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.