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Finding the Third Proportional to 522,742 and 1,133,995

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Solution

The third proportional to 522,742 and 1,133,995 is: 2,459,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,742 : 1,133,995 = 1,133,995 : x
  2. Step 2: Convert to fraction form
    522,742/1,133,995 = 1,133,995/x
  3. Step 3: Cross multiply
    522,742x = 1,133,995 × 1,133,995
  4. Step 4: Simplify right side
    522,742x = 1,285,944,660,025
  5. Step 5: Solve for x
    x = 1,285,944,660,025/522,742
  6. Step 6: Final answer
    x = 2,459,998.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.