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Finding the Third Proportional to 780,832 and 1,629,440

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Solution

The third proportional to 780,832 and 1,629,440 is: 3,400,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,832 : 1,629,440 = 1,629,440 : x
  2. Step 2: Convert to fraction form
    780,832/1,629,440 = 1,629,440/x
  3. Step 3: Cross multiply
    780,832x = 1,629,440 × 1,629,440
  4. Step 4: Simplify right side
    780,832x = 2,655,074,713,600
  5. Step 5: Solve for x
    x = 2,655,074,713,600/780,832
  6. Step 6: Final answer
    x = 3,400,314.94

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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.