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Finding the Third Proportional to 1,597,104 and 2,414,718

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Solution

The third proportional to 1,597,104 and 2,414,718 is: 3,650,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,104 : 2,414,718 = 2,414,718 : x
  2. Step 2: Convert to fraction form
    1,597,104/2,414,718 = 2,414,718/x
  3. Step 3: Cross multiply
    1,597,104x = 2,414,718 × 2,414,718
  4. Step 4: Simplify right side
    1,597,104x = 5,830,863,019,524
  5. Step 5: Solve for x
    x = 5,830,863,019,524/1,597,104
  6. Step 6: Final answer
    x = 3,650,897.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.