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Finding the Third Proportional to 626,717 and 941,466

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Solution

The third proportional to 626,717 and 941,466 is: 1,414,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,717 : 941,466 = 941,466 : x
  2. Step 2: Convert to fraction form
    626,717/941,466 = 941,466/x
  3. Step 3: Cross multiply
    626,717x = 941,466 × 941,466
  4. Step 4: Simplify right side
    626,717x = 886,358,229,156
  5. Step 5: Solve for x
    x = 886,358,229,156/626,717
  6. Step 6: Final answer
    x = 1,414,287.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.