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Finding the Third Proportional to 688,923 and 1,006,167

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Solution

The third proportional to 688,923 and 1,006,167 is: 1,469,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,923 : 1,006,167 = 1,006,167 : x
  2. Step 2: Convert to fraction form
    688,923/1,006,167 = 1,006,167/x
  3. Step 3: Cross multiply
    688,923x = 1,006,167 × 1,006,167
  4. Step 4: Simplify right side
    688,923x = 1,012,372,031,889
  5. Step 5: Solve for x
    x = 1,012,372,031,889/688,923
  6. Step 6: Final answer
    x = 1,469,499.54

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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.