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Finding the Third Proportional to 2,075,192 and 3,809,392

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Solution

The third proportional to 2,075,192 and 3,809,392 is: 6,992,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,192 : 3,809,392 = 3,809,392 : x
  2. Step 2: Convert to fraction form
    2,075,192/3,809,392 = 3,809,392/x
  3. Step 3: Cross multiply
    2,075,192x = 3,809,392 × 3,809,392
  4. Step 4: Simplify right side
    2,075,192x = 14,511,467,409,664
  5. Step 5: Solve for x
    x = 14,511,467,409,664/2,075,192
  6. Step 6: Final answer
    x = 6,992,831.22

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.