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Finding the Third Proportional to 1,075,968 and 2,330,064

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Solution

The third proportional to 1,075,968 and 2,330,064 is: 5,045,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,968 : 2,330,064 = 2,330,064 : x
  2. Step 2: Convert to fraction form
    1,075,968/2,330,064 = 2,330,064/x
  3. Step 3: Cross multiply
    1,075,968x = 2,330,064 × 2,330,064
  4. Step 4: Simplify right side
    1,075,968x = 5,429,198,244,096
  5. Step 5: Solve for x
    x = 5,429,198,244,096/1,075,968
  6. Step 6: Final answer
    x = 5,045,873.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.