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Finding the Third Proportional to 523,736 and 1,124,980

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Solution

The third proportional to 523,736 and 1,124,980 is: 2,416,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,736 : 1,124,980 = 1,124,980 : x
  2. Step 2: Convert to fraction form
    523,736/1,124,980 = 1,124,980/x
  3. Step 3: Cross multiply
    523,736x = 1,124,980 × 1,124,980
  4. Step 4: Simplify right side
    523,736x = 1,265,580,000,400
  5. Step 5: Solve for x
    x = 1,265,580,000,400/523,736
  6. Step 6: Final answer
    x = 2,416,446.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.