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Finding the Third Proportional to 483,648 and 1,038,647

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Solution

The third proportional to 483,648 and 1,038,647 is: 2,230,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,648 : 1,038,647 = 1,038,647 : x
  2. Step 2: Convert to fraction form
    483,648/1,038,647 = 1,038,647/x
  3. Step 3: Cross multiply
    483,648x = 1,038,647 × 1,038,647
  4. Step 4: Simplify right side
    483,648x = 1,078,787,590,609
  5. Step 5: Solve for x
    x = 1,078,787,590,609/483,648
  6. Step 6: Final answer
    x = 2,230,522.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.