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Finding the Third Proportional to 1,783,161 and 3,477,014

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Solution

The third proportional to 1,783,161 and 3,477,014 is: 6,779,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,161 : 3,477,014 = 3,477,014 : x
  2. Step 2: Convert to fraction form
    1,783,161/3,477,014 = 3,477,014/x
  3. Step 3: Cross multiply
    1,783,161x = 3,477,014 × 3,477,014
  4. Step 4: Simplify right side
    1,783,161x = 12,089,626,356,196
  5. Step 5: Solve for x
    x = 12,089,626,356,196/1,783,161
  6. Step 6: Final answer
    x = 6,779,884.91

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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.