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Finding the Third Proportional to 601,854 and 914,601

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Solution

The third proportional to 601,854 and 914,601 is: 1,389,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,854 : 914,601 = 914,601 : x
  2. Step 2: Convert to fraction form
    601,854/914,601 = 914,601/x
  3. Step 3: Cross multiply
    601,854x = 914,601 × 914,601
  4. Step 4: Simplify right side
    601,854x = 836,494,989,201
  5. Step 5: Solve for x
    x = 836,494,989,201/601,854
  6. Step 6: Final answer
    x = 1,389,863.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.