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Finding the Third Proportional to 808,211,178 and 1,182,083,670

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Solution

The third proportional to 808,211,178 and 1,182,083,670 is: 1,728,906,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,211,178 : 1,182,083,670 = 1,182,083,670 : x
  2. Step 2: Convert to fraction form
    808,211,178/1,182,083,670 = 1,182,083,670/x
  3. Step 3: Cross multiply
    808,211,178x = 1,182,083,670 × 1,182,083,670
  4. Step 4: Simplify right side
    808,211,178x = 1,397,321,802,880,668,928
  5. Step 5: Solve for x
    x = 1,397,321,802,880,668,928/808,211,178
  6. Step 6: Final answer
    x = 1,728,906,801.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.