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Finding the Third Proportional to 628,956 and 967,902

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Solution

The third proportional to 628,956 and 967,902 is: 1,489,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,956 : 967,902 = 967,902 : x
  2. Step 2: Convert to fraction form
    628,956/967,902 = 967,902/x
  3. Step 3: Cross multiply
    628,956x = 967,902 × 967,902
  4. Step 4: Simplify right side
    628,956x = 936,834,281,604
  5. Step 5: Solve for x
    x = 936,834,281,604/628,956
  6. Step 6: Final answer
    x = 1,489,506.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.