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Finding the Third Proportional to 695,720 and 992,226

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Solution

The third proportional to 695,720 and 992,226 is: 1,415,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,720 : 992,226 = 992,226 : x
  2. Step 2: Convert to fraction form
    695,720/992,226 = 992,226/x
  3. Step 3: Cross multiply
    695,720x = 992,226 × 992,226
  4. Step 4: Simplify right side
    695,720x = 984,512,435,076
  5. Step 5: Solve for x
    x = 984,512,435,076/695,720
  6. Step 6: Final answer
    x = 1,415,098.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.