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Finding the Third Proportional to 1,229,022 and 2,556,144

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Solution

The third proportional to 1,229,022 and 2,556,144 is: 5,316,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,022 : 2,556,144 = 2,556,144 : x
  2. Step 2: Convert to fraction form
    1,229,022/2,556,144 = 2,556,144/x
  3. Step 3: Cross multiply
    1,229,022x = 2,556,144 × 2,556,144
  4. Step 4: Simplify right side
    1,229,022x = 6,533,872,148,736
  5. Step 5: Solve for x
    x = 6,533,872,148,736/1,229,022
  6. Step 6: Final answer
    x = 5,316,318.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.