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Finding the Third Proportional to 652,286 and 997,883

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Solution

The third proportional to 652,286 and 997,883 is: 1,526,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,286 : 997,883 = 997,883 : x
  2. Step 2: Convert to fraction form
    652,286/997,883 = 997,883/x
  3. Step 3: Cross multiply
    652,286x = 997,883 × 997,883
  4. Step 4: Simplify right side
    652,286x = 995,770,481,689
  5. Step 5: Solve for x
    x = 995,770,481,689/652,286
  6. Step 6: Final answer
    x = 1,526,585.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.