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Finding the Third Proportional to 642,844 and 951,144

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Solution

The third proportional to 642,844 and 951,144 is: 1,407,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,844 : 951,144 = 951,144 : x
  2. Step 2: Convert to fraction form
    642,844/951,144 = 951,144/x
  3. Step 3: Cross multiply
    642,844x = 951,144 × 951,144
  4. Step 4: Simplify right side
    642,844x = 904,674,908,736
  5. Step 5: Solve for x
    x = 904,674,908,736/642,844
  6. Step 6: Final answer
    x = 1,407,300.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.