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Finding the Third Proportional to 622,314.56 and 939,195.84

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Solution

The third proportional to 622,314.56 and 939,195.84 is: 1,417,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,314.56 : 939,195.84 = 939,195.84 : x
  2. Step 2: Convert to fraction form
    622,314.56/939,195.84 = 939,195.84/x
  3. Step 3: Cross multiply
    622,314.56x = 939,195.84 × 939,195.84
  4. Step 4: Simplify right side
    622,314.56x = 882,088,832,917.27
  5. Step 5: Solve for x
    x = 882,088,832,917.27/622,314.56
  6. Step 6: Final answer
    x = 1,417,432.41

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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.