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Finding the Third Proportional to 1,205,261 and 2,595,024

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Solution

The third proportional to 1,205,261 and 2,595,024 is: 5,587,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,261 : 2,595,024 = 2,595,024 : x
  2. Step 2: Convert to fraction form
    1,205,261/2,595,024 = 2,595,024/x
  3. Step 3: Cross multiply
    1,205,261x = 2,595,024 × 2,595,024
  4. Step 4: Simplify right side
    1,205,261x = 6,734,149,560,576
  5. Step 5: Solve for x
    x = 6,734,149,560,576/1,205,261
  6. Step 6: Final answer
    x = 5,587,295.67

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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.