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Finding the Third Proportional to 635,622.19 and 942,437.53

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Solution

The third proportional to 635,622.19 and 942,437.53 is: 1,397,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,622.19 : 942,437.53 = 942,437.53 : x
  2. Step 2: Convert to fraction form
    635,622.19/942,437.53 = 942,437.53/x
  3. Step 3: Cross multiply
    635,622.19x = 942,437.53 × 942,437.53
  4. Step 4: Simplify right side
    635,622.19x = 888,188,500,308.60
  5. Step 5: Solve for x
    x = 888,188,500,308.60/635,622.19
  6. Step 6: Final answer
    x = 1,397,352.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.