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Finding the Third Proportional to 490,992 and 1,075,704

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Solution

The third proportional to 490,992 and 1,075,704 is: 2,356,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,992 : 1,075,704 = 1,075,704 : x
  2. Step 2: Convert to fraction form
    490,992/1,075,704 = 1,075,704/x
  3. Step 3: Cross multiply
    490,992x = 1,075,704 × 1,075,704
  4. Step 4: Simplify right side
    490,992x = 1,157,139,095,616
  5. Step 5: Solve for x
    x = 1,157,139,095,616/490,992
  6. Step 6: Final answer
    x = 2,356,737.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.