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Finding the Third Proportional to 506,296 and 1,113,648

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Solution

The third proportional to 506,296 and 1,113,648 is: 2,449,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,296 : 1,113,648 = 1,113,648 : x
  2. Step 2: Convert to fraction form
    506,296/1,113,648 = 1,113,648/x
  3. Step 3: Cross multiply
    506,296x = 1,113,648 × 1,113,648
  4. Step 4: Simplify right side
    506,296x = 1,240,211,867,904
  5. Step 5: Solve for x
    x = 1,240,211,867,904/506,296
  6. Step 6: Final answer
    x = 2,449,578.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.