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Finding the Third Proportional to 661,941 and 992,023

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Solution

The third proportional to 661,941 and 992,023 is: 1,486,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,941 : 992,023 = 992,023 : x
  2. Step 2: Convert to fraction form
    661,941/992,023 = 992,023/x
  3. Step 3: Cross multiply
    661,941x = 992,023 × 992,023
  4. Step 4: Simplify right side
    661,941x = 984,109,632,529
  5. Step 5: Solve for x
    x = 984,109,632,529/661,941
  6. Step 6: Final answer
    x = 1,486,702.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.