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Finding the Third Proportional to 1,314,075 and 2,824,458

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Solution

The third proportional to 1,314,075 and 2,824,458 is: 6,070,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,075 : 2,824,458 = 2,824,458 : x
  2. Step 2: Convert to fraction form
    1,314,075/2,824,458 = 2,824,458/x
  3. Step 3: Cross multiply
    1,314,075x = 2,824,458 × 2,824,458
  4. Step 4: Simplify right side
    1,314,075x = 7,977,562,993,764
  5. Step 5: Solve for x
    x = 7,977,562,993,764/1,314,075
  6. Step 6: Final answer
    x = 6,070,858.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.