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Finding the Third Proportional to 522,736 and 1,133,984

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Solution

The third proportional to 522,736 and 1,133,984 is: 2,459,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,736 : 1,133,984 = 1,133,984 : x
  2. Step 2: Convert to fraction form
    522,736/1,133,984 = 1,133,984/x
  3. Step 3: Cross multiply
    522,736x = 1,133,984 × 1,133,984
  4. Step 4: Simplify right side
    522,736x = 1,285,919,712,256
  5. Step 5: Solve for x
    x = 1,285,919,712,256/522,736
  6. Step 6: Final answer
    x = 2,459,979.25

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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.