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Finding the Third Proportional to 640,938 and 978,356

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Solution

The third proportional to 640,938 and 978,356 is: 1,493,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,938 : 978,356 = 978,356 : x
  2. Step 2: Convert to fraction form
    640,938/978,356 = 978,356/x
  3. Step 3: Cross multiply
    640,938x = 978,356 × 978,356
  4. Step 4: Simplify right side
    640,938x = 957,180,462,736
  5. Step 5: Solve for x
    x = 957,180,462,736/640,938
  6. Step 6: Final answer
    x = 1,493,405.70

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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.