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Finding the Third Proportional to 695,882.25 and 1,066,287.38

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Solution

The third proportional to 695,882.25 and 1,066,287.38 is: 1,633,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,882.25 : 1,066,287.38 = 1,066,287.38 : x
  2. Step 2: Convert to fraction form
    695,882.25/1,066,287.38 = 1,066,287.38/x
  3. Step 3: Cross multiply
    695,882.25x = 1,066,287.38 × 1,066,287.38
  4. Step 4: Simplify right side
    695,882.25x = 1,136,968,766,084.39
  5. Step 5: Solve for x
    x = 1,136,968,766,084.39/695,882.25
  6. Step 6: Final answer
    x = 1,633,852.23

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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.