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Finding the Third Proportional to 1,477,212 and 3,213,240

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Solution

The third proportional to 1,477,212 and 3,213,240 is: 6,989,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,212 : 3,213,240 = 3,213,240 : x
  2. Step 2: Convert to fraction form
    1,477,212/3,213,240 = 3,213,240/x
  3. Step 3: Cross multiply
    1,477,212x = 3,213,240 × 3,213,240
  4. Step 4: Simplify right side
    1,477,212x = 10,324,911,297,600
  5. Step 5: Solve for x
    x = 10,324,911,297,600/1,477,212
  6. Step 6: Final answer
    x = 6,989,458.05

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Why These Related Problems?

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