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Finding the Third Proportional to 536,844 and 1,168,155

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Solution

The third proportional to 536,844 and 1,168,155 is: 2,541,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,844 : 1,168,155 = 1,168,155 : x
  2. Step 2: Convert to fraction form
    536,844/1,168,155 = 1,168,155/x
  3. Step 3: Cross multiply
    536,844x = 1,168,155 × 1,168,155
  4. Step 4: Simplify right side
    536,844x = 1,364,586,104,025
  5. Step 5: Solve for x
    x = 1,364,586,104,025/536,844
  6. Step 6: Final answer
    x = 2,541,867.10

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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.