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Finding the Third Proportional to 749,925 and 1,649,934

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Solution

The third proportional to 749,925 and 1,649,934 is: 3,630,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,925 : 1,649,934 = 1,649,934 : x
  2. Step 2: Convert to fraction form
    749,925/1,649,934 = 1,649,934/x
  3. Step 3: Cross multiply
    749,925x = 1,649,934 × 1,649,934
  4. Step 4: Simplify right side
    749,925x = 2,722,282,204,356
  5. Step 5: Solve for x
    x = 2,722,282,204,356/749,925
  6. Step 6: Final answer
    x = 3,630,072.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.