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Finding the Third Proportional to 640,942 and 978,362

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Solution

The third proportional to 640,942 and 978,362 is: 1,493,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,942 : 978,362 = 978,362 : x
  2. Step 2: Convert to fraction form
    640,942/978,362 = 978,362/x
  3. Step 3: Cross multiply
    640,942x = 978,362 × 978,362
  4. Step 4: Simplify right side
    640,942x = 957,192,203,044
  5. Step 5: Solve for x
    x = 957,192,203,044/640,942
  6. Step 6: Final answer
    x = 1,493,414.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.