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Finding the Third Proportional to 661,943 and 992,026

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Solution

The third proportional to 661,943 and 992,026 is: 1,486,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,943 : 992,026 = 992,026 : x
  2. Step 2: Convert to fraction form
    661,943/992,026 = 992,026/x
  3. Step 3: Cross multiply
    661,943x = 992,026 × 992,026
  4. Step 4: Simplify right side
    661,943x = 984,115,584,676
  5. Step 5: Solve for x
    x = 984,115,584,676/661,943
  6. Step 6: Final answer
    x = 1,486,707.44

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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.