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Finding the Third Proportional to 632,938 and 1,493,196

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Solution

The third proportional to 632,938 and 1,493,196 is: 3,522,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,938 : 1,493,196 = 1,493,196 : x
  2. Step 2: Convert to fraction form
    632,938/1,493,196 = 1,493,196/x
  3. Step 3: Cross multiply
    632,938x = 1,493,196 × 1,493,196
  4. Step 4: Simplify right side
    632,938x = 2,229,634,294,416
  5. Step 5: Solve for x
    x = 2,229,634,294,416/632,938
  6. Step 6: Final answer
    x = 3,522,674.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.