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Finding the Third Proportional to 2,977,827 and 4,454,847

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Solution

The third proportional to 2,977,827 and 4,454,847 is: 6,664,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977,827 : 4,454,847 = 4,454,847 : x
  2. Step 2: Convert to fraction form
    2,977,827/4,454,847 = 4,454,847/x
  3. Step 3: Cross multiply
    2,977,827x = 4,454,847 × 4,454,847
  4. Step 4: Simplify right side
    2,977,827x = 19,845,661,793,409
  5. Step 5: Solve for x
    x = 19,845,661,793,409/2,977,827
  6. Step 6: Final answer
    x = 6,664,477.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.