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Finding the Third Proportional to 427,989 and 1,012,147

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Solution

The third proportional to 427,989 and 1,012,147 is: 2,393,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,989 : 1,012,147 = 1,012,147 : x
  2. Step 2: Convert to fraction form
    427,989/1,012,147 = 1,012,147/x
  3. Step 3: Cross multiply
    427,989x = 1,012,147 × 1,012,147
  4. Step 4: Simplify right side
    427,989x = 1,024,441,549,609
  5. Step 5: Solve for x
    x = 1,024,441,549,609/427,989
  6. Step 6: Final answer
    x = 2,393,616.54

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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.