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Finding the Third Proportional to 427,993 and 1,012,154

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Solution

The third proportional to 427,993 and 1,012,154 is: 2,393,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,993 : 1,012,154 = 1,012,154 : x
  2. Step 2: Convert to fraction form
    427,993/1,012,154 = 1,012,154/x
  3. Step 3: Cross multiply
    427,993x = 1,012,154 × 1,012,154
  4. Step 4: Simplify right side
    427,993x = 1,024,455,719,716
  5. Step 5: Solve for x
    x = 1,024,455,719,716/427,993
  6. Step 6: Final answer
    x = 2,393,627.28

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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.