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Finding the Third Proportional to 633,669 and 1,319,775

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Solution

The third proportional to 633,669 and 1,319,775 is: 2,748,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,669 : 1,319,775 = 1,319,775 : x
  2. Step 2: Convert to fraction form
    633,669/1,319,775 = 1,319,775/x
  3. Step 3: Cross multiply
    633,669x = 1,319,775 × 1,319,775
  4. Step 4: Simplify right side
    633,669x = 1,741,806,050,625
  5. Step 5: Solve for x
    x = 1,741,806,050,625/633,669
  6. Step 6: Final answer
    x = 2,748,763.24

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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.