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Finding the Third Proportional to 2,477,189.25 and 4,099,794.75

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Solution

The third proportional to 2,477,189.25 and 4,099,794.75 is: 6,785,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,189.25 : 4,099,794.75 = 4,099,794.75 : x
  2. Step 2: Convert to fraction form
    2,477,189.25/4,099,794.75 = 4,099,794.75/x
  3. Step 3: Cross multiply
    2,477,189.25x = 4,099,794.75 × 4,099,794.75
  4. Step 4: Simplify right side
    2,477,189.25x = 16,808,316,992,127.56
  5. Step 5: Solve for x
    x = 16,808,316,992,127.56/2,477,189.25
  6. Step 6: Final answer
    x = 6,785,237.34

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.