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Finding the Third Proportional to 1,107,114 and 2,384,024

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Solution

The third proportional to 1,107,114 and 2,384,024 is: 5,133,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,114 : 2,384,024 = 2,384,024 : x
  2. Step 2: Convert to fraction form
    1,107,114/2,384,024 = 2,384,024/x
  3. Step 3: Cross multiply
    1,107,114x = 2,384,024 × 2,384,024
  4. Step 4: Simplify right side
    1,107,114x = 5,683,570,432,576
  5. Step 5: Solve for x
    x = 5,683,570,432,576/1,107,114
  6. Step 6: Final answer
    x = 5,133,681.29

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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.