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Finding the Third Proportional to 1,027,142 and 2,290,318

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Solution

The third proportional to 1,027,142 and 2,290,318 is: 5,106,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,142 : 2,290,318 = 2,290,318 : x
  2. Step 2: Convert to fraction form
    1,027,142/2,290,318 = 2,290,318/x
  3. Step 3: Cross multiply
    1,027,142x = 2,290,318 × 2,290,318
  4. Step 4: Simplify right side
    1,027,142x = 5,245,556,541,124
  5. Step 5: Solve for x
    x = 5,245,556,541,124/1,027,142
  6. Step 6: Final answer
    x = 5,106,943.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.