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Finding the Third Proportional to 483,408 and 1,047,168

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Solution

The third proportional to 483,408 and 1,047,168 is: 2,268,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,408 : 1,047,168 = 1,047,168 : x
  2. Step 2: Convert to fraction form
    483,408/1,047,168 = 1,047,168/x
  3. Step 3: Cross multiply
    483,408x = 1,047,168 × 1,047,168
  4. Step 4: Simplify right side
    483,408x = 1,096,560,820,224
  5. Step 5: Solve for x
    x = 1,096,560,820,224/483,408
  6. Step 6: Final answer
    x = 2,268,396.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.