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Finding the Third Proportional to 633,512 and 1,319,260

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Solution

The third proportional to 633,512 and 1,319,260 is: 2,747,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,512 : 1,319,260 = 1,319,260 : x
  2. Step 2: Convert to fraction form
    633,512/1,319,260 = 1,319,260/x
  3. Step 3: Cross multiply
    633,512x = 1,319,260 × 1,319,260
  4. Step 4: Simplify right side
    633,512x = 1,740,446,947,600
  5. Step 5: Solve for x
    x = 1,740,446,947,600/633,512
  6. Step 6: Final answer
    x = 2,747,299.10

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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.