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Finding the Third Proportional to 682,911 and 1,475,241

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Solution

The third proportional to 682,911 and 1,475,241 is: 3,186,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,911 : 1,475,241 = 1,475,241 : x
  2. Step 2: Convert to fraction form
    682,911/1,475,241 = 1,475,241/x
  3. Step 3: Cross multiply
    682,911x = 1,475,241 × 1,475,241
  4. Step 4: Simplify right side
    682,911x = 2,176,336,008,081
  5. Step 5: Solve for x
    x = 2,176,336,008,081/682,911
  6. Step 6: Final answer
    x = 3,186,851.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.