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Finding the Third Proportional to 536,959.13 and 1,157,976

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Solution

The third proportional to 536,959.13 and 1,157,976 is: 2,497,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,959.13 : 1,157,976 = 1,157,976 : x
  2. Step 2: Convert to fraction form
    536,959.13/1,157,976 = 1,157,976/x
  3. Step 3: Cross multiply
    536,959.13x = 1,157,976 × 1,157,976
  4. Step 4: Simplify right side
    536,959.13x = 1,340,908,416,576
  5. Step 5: Solve for x
    x = 1,340,908,416,576/536,959.13
  6. Step 6: Final answer
    x = 2,497,226.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.