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Finding the Third Proportional to 726,988 and 1,542,104

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Solution

The third proportional to 726,988 and 1,542,104 is: 3,271,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,988 : 1,542,104 = 1,542,104 : x
  2. Step 2: Convert to fraction form
    726,988/1,542,104 = 1,542,104/x
  3. Step 3: Cross multiply
    726,988x = 1,542,104 × 1,542,104
  4. Step 4: Simplify right side
    726,988x = 2,378,084,746,816
  5. Step 5: Solve for x
    x = 2,378,084,746,816/726,988
  6. Step 6: Final answer
    x = 3,271,147.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.