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Finding the Third Proportional to 536,016 and 1,149,792

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Solution

The third proportional to 536,016 and 1,149,792 is: 2,466,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,016 : 1,149,792 = 1,149,792 : x
  2. Step 2: Convert to fraction form
    536,016/1,149,792 = 1,149,792/x
  3. Step 3: Cross multiply
    536,016x = 1,149,792 × 1,149,792
  4. Step 4: Simplify right side
    536,016x = 1,322,021,643,264
  5. Step 5: Solve for x
    x = 1,322,021,643,264/536,016
  6. Step 6: Final answer
    x = 2,466,384.67

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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.