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Finding the Third Proportional to 480,668 and 1,023,462

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Solution

The third proportional to 480,668 and 1,023,462 is: 2,179,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,668 : 1,023,462 = 1,023,462 : x
  2. Step 2: Convert to fraction form
    480,668/1,023,462 = 1,023,462/x
  3. Step 3: Cross multiply
    480,668x = 1,023,462 × 1,023,462
  4. Step 4: Simplify right side
    480,668x = 1,047,474,465,444
  5. Step 5: Solve for x
    x = 1,047,474,465,444/480,668
  6. Step 6: Final answer
    x = 2,179,205.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.