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Finding the Third Proportional to 622,410.75 and 939,331.69

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Solution

The third proportional to 622,410.75 and 939,331.69 is: 1,417,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,410.75 : 939,331.69 = 939,331.69 : x
  2. Step 2: Convert to fraction form
    622,410.75/939,331.69 = 939,331.69/x
  3. Step 3: Cross multiply
    622,410.75x = 939,331.69 × 939,331.69
  4. Step 4: Simplify right side
    622,410.75x = 882,344,019,141.60
  5. Step 5: Solve for x
    x = 882,344,019,141.60/622,410.75
  6. Step 6: Final answer
    x = 1,417,623.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.