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Finding the Third Proportional to 654,146 and 959,679

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Solution

The third proportional to 654,146 and 959,679 is: 1,407,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,146 : 959,679 = 959,679 : x
  2. Step 2: Convert to fraction form
    654,146/959,679 = 959,679/x
  3. Step 3: Cross multiply
    654,146x = 959,679 × 959,679
  4. Step 4: Simplify right side
    654,146x = 920,983,783,041
  5. Step 5: Solve for x
    x = 920,983,783,041/654,146
  6. Step 6: Final answer
    x = 1,407,917.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.