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Finding the Third Proportional to 1,477,196 and 3,213,210

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Solution

The third proportional to 1,477,196 and 3,213,210 is: 6,989,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,196 : 3,213,210 = 3,213,210 : x
  2. Step 2: Convert to fraction form
    1,477,196/3,213,210 = 3,213,210/x
  3. Step 3: Cross multiply
    1,477,196x = 3,213,210 × 3,213,210
  4. Step 4: Simplify right side
    1,477,196x = 10,324,718,504,100
  5. Step 5: Solve for x
    x = 10,324,718,504,100/1,477,196
  6. Step 6: Final answer
    x = 6,989,403.24

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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.