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Finding the Third Proportional to 536,388 and 1,134,984

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Solution

The third proportional to 536,388 and 1,134,984 is: 2,401,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,388 : 1,134,984 = 1,134,984 : x
  2. Step 2: Convert to fraction form
    536,388/1,134,984 = 1,134,984/x
  3. Step 3: Cross multiply
    536,388x = 1,134,984 × 1,134,984
  4. Step 4: Simplify right side
    536,388x = 1,288,188,680,256
  5. Step 5: Solve for x
    x = 1,288,188,680,256/536,388
  6. Step 6: Final answer
    x = 2,401,598.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.