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Finding the Third Proportional to 667,953 and 1,035,963

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Solution

The third proportional to 667,953 and 1,035,963 is: 1,606,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,953 : 1,035,963 = 1,035,963 : x
  2. Step 2: Convert to fraction form
    667,953/1,035,963 = 1,035,963/x
  3. Step 3: Cross multiply
    667,953x = 1,035,963 × 1,035,963
  4. Step 4: Simplify right side
    667,953x = 1,073,219,337,369
  5. Step 5: Solve for x
    x = 1,073,219,337,369/667,953
  6. Step 6: Final answer
    x = 1,606,728.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.