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Finding the Third Proportional to 674,658 and 1,449,370

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Solution

The third proportional to 674,658 and 1,449,370 is: 3,113,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,658 : 1,449,370 = 1,449,370 : x
  2. Step 2: Convert to fraction form
    674,658/1,449,370 = 1,449,370/x
  3. Step 3: Cross multiply
    674,658x = 1,449,370 × 1,449,370
  4. Step 4: Simplify right side
    674,658x = 2,100,673,396,900
  5. Step 5: Solve for x
    x = 2,100,673,396,900/674,658
  6. Step 6: Final answer
    x = 3,113,686.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.