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Finding the Third Proportional to 512,534 and 1,100,848

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Solution

The third proportional to 512,534 and 1,100,848 is: 2,364,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,534 : 1,100,848 = 1,100,848 : x
  2. Step 2: Convert to fraction form
    512,534/1,100,848 = 1,100,848/x
  3. Step 3: Cross multiply
    512,534x = 1,100,848 × 1,100,848
  4. Step 4: Simplify right side
    512,534x = 1,211,866,319,104
  5. Step 5: Solve for x
    x = 1,211,866,319,104/512,534
  6. Step 6: Final answer
    x = 2,364,460.35

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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.