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Finding the Third Proportional to 689,006 and 1,006,293

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Solution

The third proportional to 689,006 and 1,006,293 is: 1,469,690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,006 : 1,006,293 = 1,006,293 : x
  2. Step 2: Convert to fraction form
    689,006/1,006,293 = 1,006,293/x
  3. Step 3: Cross multiply
    689,006x = 1,006,293 × 1,006,293
  4. Step 4: Simplify right side
    689,006x = 1,012,625,601,849
  5. Step 5: Solve for x
    x = 1,012,625,601,849/689,006
  6. Step 6: Final answer
    x = 1,469,690.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.