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Finding the Third Proportional to 633,414 and 1,319,247

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Solution

The third proportional to 633,414 and 1,319,247 is: 2,747,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,414 : 1,319,247 = 1,319,247 : x
  2. Step 2: Convert to fraction form
    633,414/1,319,247 = 1,319,247/x
  3. Step 3: Cross multiply
    633,414x = 1,319,247 × 1,319,247
  4. Step 4: Simplify right side
    633,414x = 1,740,412,647,009
  5. Step 5: Solve for x
    x = 1,740,412,647,009/633,414
  6. Step 6: Final answer
    x = 2,747,670.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.