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Finding the Third Proportional to 611,903 and 881,322

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Solution

The third proportional to 611,903 and 881,322 is: 1,269,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,903 : 881,322 = 881,322 : x
  2. Step 2: Convert to fraction form
    611,903/881,322 = 881,322/x
  3. Step 3: Cross multiply
    611,903x = 881,322 × 881,322
  4. Step 4: Simplify right side
    611,903x = 776,728,467,684
  5. Step 5: Solve for x
    x = 776,728,467,684/611,903
  6. Step 6: Final answer
    x = 1,269,365.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.