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Finding the Third Proportional to 618,416 and 881,976

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Solution

The third proportional to 618,416 and 881,976 is: 1,257,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,416 : 881,976 = 881,976 : x
  2. Step 2: Convert to fraction form
    618,416/881,976 = 881,976/x
  3. Step 3: Cross multiply
    618,416x = 881,976 × 881,976
  4. Step 4: Simplify right side
    618,416x = 777,881,664,576
  5. Step 5: Solve for x
    x = 777,881,664,576/618,416
  6. Step 6: Final answer
    x = 1,257,861.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.