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Finding the Third Proportional to 677,996 and 920,805

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Solution

The third proportional to 677,996 and 920,805 is: 1,250,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,996 : 920,805 = 920,805 : x
  2. Step 2: Convert to fraction form
    677,996/920,805 = 920,805/x
  3. Step 3: Cross multiply
    677,996x = 920,805 × 920,805
  4. Step 4: Simplify right side
    677,996x = 847,881,848,025
  5. Step 5: Solve for x
    x = 847,881,848,025/677,996
  6. Step 6: Final answer
    x = 1,250,570.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.