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Finding the Third Proportional to 406,966 and 881,728

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Solution

The third proportional to 406,966 and 881,728 is: 1,910,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,966 : 881,728 = 881,728 : x
  2. Step 2: Convert to fraction form
    406,966/881,728 = 881,728/x
  3. Step 3: Cross multiply
    406,966x = 881,728 × 881,728
  4. Step 4: Simplify right side
    406,966x = 777,444,265,984
  5. Step 5: Solve for x
    x = 777,444,265,984/406,966
  6. Step 6: Final answer
    x = 1,910,342.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.