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Finding the Third Proportional to 597,954 and 919,074

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Solution

The third proportional to 597,954 and 919,074 is: 1,412,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,954 : 919,074 = 919,074 : x
  2. Step 2: Convert to fraction form
    597,954/919,074 = 919,074/x
  3. Step 3: Cross multiply
    597,954x = 919,074 × 919,074
  4. Step 4: Simplify right side
    597,954x = 844,697,017,476
  5. Step 5: Solve for x
    x = 844,697,017,476/597,954
  6. Step 6: Final answer
    x = 1,412,645.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.