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Finding the Third Proportional to 664,710 and 1,449,720

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Solution

The third proportional to 664,710 and 1,449,720 is: 3,161,812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,710 : 1,449,720 = 1,449,720 : x
  2. Step 2: Convert to fraction form
    664,710/1,449,720 = 1,449,720/x
  3. Step 3: Cross multiply
    664,710x = 1,449,720 × 1,449,720
  4. Step 4: Simplify right side
    664,710x = 2,101,688,078,400
  5. Step 5: Solve for x
    x = 2,101,688,078,400/664,710
  6. Step 6: Final answer
    x = 3,161,812.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.