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Finding the Third Proportional to 1,497,912 and 3,205,775

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Solution

The third proportional to 1,497,912 and 3,205,775 is: 6,860,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,912 : 3,205,775 = 3,205,775 : x
  2. Step 2: Convert to fraction form
    1,497,912/3,205,775 = 3,205,775/x
  3. Step 3: Cross multiply
    1,497,912x = 3,205,775 × 3,205,775
  4. Step 4: Simplify right side
    1,497,912x = 10,276,993,350,625
  5. Step 5: Solve for x
    x = 10,276,993,350,625/1,497,912
  6. Step 6: Final answer
    x = 6,860,879.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.