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Finding the Third Proportional to 610,434 and 1,276,629

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Solution

The third proportional to 610,434 and 1,276,629 is: 2,669,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,434 : 1,276,629 = 1,276,629 : x
  2. Step 2: Convert to fraction form
    610,434/1,276,629 = 1,276,629/x
  3. Step 3: Cross multiply
    610,434x = 1,276,629 × 1,276,629
  4. Step 4: Simplify right side
    610,434x = 1,629,781,603,641
  5. Step 5: Solve for x
    x = 1,629,781,603,641/610,434
  6. Step 6: Final answer
    x = 2,669,873.57

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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.