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Finding the Third Proportional to 1,777,461 and 3,466,245

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Solution

The third proportional to 1,777,461 and 3,466,245 is: 6,759,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777,461 : 3,466,245 = 3,466,245 : x
  2. Step 2: Convert to fraction form
    1,777,461/3,466,245 = 3,466,245/x
  3. Step 3: Cross multiply
    1,777,461x = 3,466,245 × 3,466,245
  4. Step 4: Simplify right side
    1,777,461x = 12,014,854,400,025
  5. Step 5: Solve for x
    x = 12,014,854,400,025/1,777,461
  6. Step 6: Final answer
    x = 6,759,560.07

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.