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Finding the Third Proportional to 962,224 and 1,466,032

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Solution

The third proportional to 962,224 and 1,466,032 is: 2,233,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,224 : 1,466,032 = 1,466,032 : x
  2. Step 2: Convert to fraction form
    962,224/1,466,032 = 1,466,032/x
  3. Step 3: Cross multiply
    962,224x = 1,466,032 × 1,466,032
  4. Step 4: Simplify right side
    962,224x = 2,149,249,825,024
  5. Step 5: Solve for x
    x = 2,149,249,825,024/962,224
  6. Step 6: Final answer
    x = 2,233,627.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.