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Finding the Third Proportional to 646,518 and 978,775

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Solution

The third proportional to 646,518 and 978,775 is: 1,481,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,518 : 978,775 = 978,775 : x
  2. Step 2: Convert to fraction form
    646,518/978,775 = 978,775/x
  3. Step 3: Cross multiply
    646,518x = 978,775 × 978,775
  4. Step 4: Simplify right side
    646,518x = 958,000,500,625
  5. Step 5: Solve for x
    x = 958,000,500,625/646,518
  6. Step 6: Final answer
    x = 1,481,784.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.