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Finding the Third Proportional to 1,477,066 and 3,206,220

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Solution

The third proportional to 1,477,066 and 3,206,220 is: 6,959,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,066 : 3,206,220 = 3,206,220 : x
  2. Step 2: Convert to fraction form
    1,477,066/3,206,220 = 3,206,220/x
  3. Step 3: Cross multiply
    1,477,066x = 3,206,220 × 3,206,220
  4. Step 4: Simplify right side
    1,477,066x = 10,279,846,688,400
  5. Step 5: Solve for x
    x = 10,279,846,688,400/1,477,066
  6. Step 6: Final answer
    x = 6,959,639.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.