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Finding the Third Proportional to 628,956 and 967,904

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Solution

The third proportional to 628,956 and 967,904 is: 1,489,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,956 : 967,904 = 967,904 : x
  2. Step 2: Convert to fraction form
    628,956/967,904 = 967,904/x
  3. Step 3: Cross multiply
    628,956x = 967,904 × 967,904
  4. Step 4: Simplify right side
    628,956x = 936,838,153,216
  5. Step 5: Solve for x
    x = 936,838,153,216/628,956
  6. Step 6: Final answer
    x = 1,489,513.02

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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.