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Finding the Third Proportional to 1,477,206 and 3,213,228

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Solution

The third proportional to 1,477,206 and 3,213,228 is: 6,989,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,206 : 3,213,228 = 3,213,228 : x
  2. Step 2: Convert to fraction form
    1,477,206/3,213,228 = 3,213,228/x
  3. Step 3: Cross multiply
    1,477,206x = 3,213,228 × 3,213,228
  4. Step 4: Simplify right side
    1,477,206x = 10,324,834,179,984
  5. Step 5: Solve for x
    x = 10,324,834,179,984/1,477,206
  6. Step 6: Final answer
    x = 6,989,434.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.