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Finding the Third Proportional to 1,050,082 and 2,290,219

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Solution

The third proportional to 1,050,082 and 2,290,219 is: 4,994,946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,082 : 2,290,219 = 2,290,219 : x
  2. Step 2: Convert to fraction form
    1,050,082/2,290,219 = 2,290,219/x
  3. Step 3: Cross multiply
    1,050,082x = 2,290,219 × 2,290,219
  4. Step 4: Simplify right side
    1,050,082x = 5,245,103,067,961
  5. Step 5: Solve for x
    x = 5,245,103,067,961/1,050,082
  6. Step 6: Final answer
    x = 4,994,946.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.