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Finding the Third Proportional to 643,466 and 1,270,759

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Solution

The third proportional to 643,466 and 1,270,759 is: 2,509,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,466 : 1,270,759 = 1,270,759 : x
  2. Step 2: Convert to fraction form
    643,466/1,270,759 = 1,270,759/x
  3. Step 3: Cross multiply
    643,466x = 1,270,759 × 1,270,759
  4. Step 4: Simplify right side
    643,466x = 1,614,828,436,081
  5. Step 5: Solve for x
    x = 1,614,828,436,081/643,466
  6. Step 6: Final answer
    x = 2,509,578.50

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.