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Finding the Third Proportional to 642,852 and 970,110

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Solution

The third proportional to 642,852 and 970,110 is: 1,463,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,852 : 970,110 = 970,110 : x
  2. Step 2: Convert to fraction form
    642,852/970,110 = 970,110/x
  3. Step 3: Cross multiply
    642,852x = 970,110 × 970,110
  4. Step 4: Simplify right side
    642,852x = 941,113,412,100
  5. Step 5: Solve for x
    x = 941,113,412,100/642,852
  6. Step 6: Final answer
    x = 1,463,965.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.