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Finding the Third Proportional to 682,911 and 1,496,475

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Solution

The third proportional to 682,911 and 1,496,475 is: 3,279,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,911 : 1,496,475 = 1,496,475 : x
  2. Step 2: Convert to fraction form
    682,911/1,496,475 = 1,496,475/x
  3. Step 3: Cross multiply
    682,911x = 1,496,475 × 1,496,475
  4. Step 4: Simplify right side
    682,911x = 2,239,437,425,625
  5. Step 5: Solve for x
    x = 2,239,437,425,625/682,911
  6. Step 6: Final answer
    x = 3,279,252.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.