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Finding the Third Proportional to 1,212,597.84 and 1,902,205.27

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Solution

The third proportional to 1,212,597.84 and 1,902,205.27 is: 2,983,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,597.84 : 1,902,205.27 = 1,902,205.27 : x
  2. Step 2: Convert to fraction form
    1,212,597.84/1,902,205.27 = 1,902,205.27/x
  3. Step 3: Cross multiply
    1,212,597.84x = 1,902,205.27 × 1,902,205.27
  4. Step 4: Simplify right side
    1,212,597.84x = 3,618,384,872,571.48
  5. Step 5: Solve for x
    x = 3,618,384,872,571.48/1,212,597.84
  6. Step 6: Final answer
    x = 2,983,994.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.