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Finding the Third Proportional to 2,075,194 and 3,809,396

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Solution

The third proportional to 2,075,194 and 3,809,396 is: 6,992,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,194 : 3,809,396 = 3,809,396 : x
  2. Step 2: Convert to fraction form
    2,075,194/3,809,396 = 3,809,396/x
  3. Step 3: Cross multiply
    2,075,194x = 3,809,396 × 3,809,396
  4. Step 4: Simplify right side
    2,075,194x = 14,511,497,884,816
  5. Step 5: Solve for x
    x = 14,511,497,884,816/2,075,194
  6. Step 6: Final answer
    x = 6,992,839.17

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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.