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Finding the Third Proportional to 622,533 and 915,997

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Solution

The third proportional to 622,533 and 915,997 is: 1,347,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,533 : 915,997 = 915,997 : x
  2. Step 2: Convert to fraction form
    622,533/915,997 = 915,997/x
  3. Step 3: Cross multiply
    622,533x = 915,997 × 915,997
  4. Step 4: Simplify right side
    622,533x = 839,050,504,009
  5. Step 5: Solve for x
    x = 839,050,504,009/622,533
  6. Step 6: Final answer
    x = 1,347,800.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.