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Finding the Third Proportional to 674,434 and 1,411,225

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Solution

The third proportional to 674,434 and 1,411,225 is: 2,952,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,434 : 1,411,225 = 1,411,225 : x
  2. Step 2: Convert to fraction form
    674,434/1,411,225 = 1,411,225/x
  3. Step 3: Cross multiply
    674,434x = 1,411,225 × 1,411,225
  4. Step 4: Simplify right side
    674,434x = 1,991,556,000,625
  5. Step 5: Solve for x
    x = 1,991,556,000,625/674,434
  6. Step 6: Final answer
    x = 2,952,929.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.