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Finding the Third Proportional to 633,465 and 1,319,175

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Solution

The third proportional to 633,465 and 1,319,175 is: 2,747,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,465 : 1,319,175 = 1,319,175 : x
  2. Step 2: Convert to fraction form
    633,465/1,319,175 = 1,319,175/x
  3. Step 3: Cross multiply
    633,465x = 1,319,175 × 1,319,175
  4. Step 4: Simplify right side
    633,465x = 1,740,222,680,625
  5. Step 5: Solve for x
    x = 1,740,222,680,625/633,465
  6. Step 6: Final answer
    x = 2,747,148.90

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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.