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Finding the Third Proportional to 471,168 and 1,025,280

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Solution

The third proportional to 471,168 and 1,025,280 is: 2,231,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,168 : 1,025,280 = 1,025,280 : x
  2. Step 2: Convert to fraction form
    471,168/1,025,280 = 1,025,280/x
  3. Step 3: Cross multiply
    471,168x = 1,025,280 × 1,025,280
  4. Step 4: Simplify right side
    471,168x = 1,051,199,078,400
  5. Step 5: Solve for x
    x = 1,051,199,078,400/471,168
  6. Step 6: Final answer
    x = 2,231,049.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.