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Finding the Third Proportional to 694,848 and 1,101,159

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Solution

The third proportional to 694,848 and 1,101,159 is: 1,745,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,848 : 1,101,159 = 1,101,159 : x
  2. Step 2: Convert to fraction form
    694,848/1,101,159 = 1,101,159/x
  3. Step 3: Cross multiply
    694,848x = 1,101,159 × 1,101,159
  4. Step 4: Simplify right side
    694,848x = 1,212,551,143,281
  5. Step 5: Solve for x
    x = 1,212,551,143,281/694,848
  6. Step 6: Final answer
    x = 1,745,059.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.