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Finding the Third Proportional to 650,976 and 985,644

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Solution

The third proportional to 650,976 and 985,644 is: 1,492,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,976 : 985,644 = 985,644 : x
  2. Step 2: Convert to fraction form
    650,976/985,644 = 985,644/x
  3. Step 3: Cross multiply
    650,976x = 985,644 × 985,644
  4. Step 4: Simplify right side
    650,976x = 971,494,094,736
  5. Step 5: Solve for x
    x = 971,494,094,736/650,976
  6. Step 6: Final answer
    x = 1,492,365.46

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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.