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Finding the Third Proportional to 640,984 and 978,426

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Solution

The third proportional to 640,984 and 978,426 is: 1,493,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,984 : 978,426 = 978,426 : x
  2. Step 2: Convert to fraction form
    640,984/978,426 = 978,426/x
  3. Step 3: Cross multiply
    640,984x = 978,426 × 978,426
  4. Step 4: Simplify right side
    640,984x = 957,317,437,476
  5. Step 5: Solve for x
    x = 957,317,437,476/640,984
  6. Step 6: Final answer
    x = 1,493,512.22

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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.