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Finding the Third Proportional to 1,477,614 and 2,246,214

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Solution

The third proportional to 1,477,614 and 2,246,214 is: 3,414,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,614 : 2,246,214 = 2,246,214 : x
  2. Step 2: Convert to fraction form
    1,477,614/2,246,214 = 2,246,214/x
  3. Step 3: Cross multiply
    1,477,614x = 2,246,214 × 2,246,214
  4. Step 4: Simplify right side
    1,477,614x = 5,045,477,333,796
  5. Step 5: Solve for x
    x = 5,045,477,333,796/1,477,614
  6. Step 6: Final answer
    x = 3,414,611.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.