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Finding the Third Proportional to 1,136,964 and 2,431,476

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Solution

The third proportional to 1,136,964 and 2,431,476 is: 5,199,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136,964 : 2,431,476 = 2,431,476 : x
  2. Step 2: Convert to fraction form
    1,136,964/2,431,476 = 2,431,476/x
  3. Step 3: Cross multiply
    1,136,964x = 2,431,476 × 2,431,476
  4. Step 4: Simplify right side
    1,136,964x = 5,912,075,538,576
  5. Step 5: Solve for x
    x = 5,912,075,538,576/1,136,964
  6. Step 6: Final answer
    x = 5,199,879.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.