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Finding the Third Proportional to 622,896 and 1,355,142

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Solution

The third proportional to 622,896 and 1,355,142 is: 2,948,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,896 : 1,355,142 = 1,355,142 : x
  2. Step 2: Convert to fraction form
    622,896/1,355,142 = 1,355,142/x
  3. Step 3: Cross multiply
    622,896x = 1,355,142 × 1,355,142
  4. Step 4: Simplify right side
    622,896x = 1,836,409,840,164
  5. Step 5: Solve for x
    x = 1,836,409,840,164/622,896
  6. Step 6: Final answer
    x = 2,948,180.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.