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Finding the Third Proportional to 696,573 and 1,422,664

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Solution

The third proportional to 696,573 and 1,422,664 is: 2,905,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,573 : 1,422,664 = 1,422,664 : x
  2. Step 2: Convert to fraction form
    696,573/1,422,664 = 1,422,664/x
  3. Step 3: Cross multiply
    696,573x = 1,422,664 × 1,422,664
  4. Step 4: Simplify right side
    696,573x = 2,023,972,856,896
  5. Step 5: Solve for x
    x = 2,023,972,856,896/696,573
  6. Step 6: Final answer
    x = 2,905,614.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.