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Finding the Third Proportional to 2,586,830 and 5,339,724

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Solution

The third proportional to 2,586,830 and 5,339,724 is: 11,022,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586,830 : 5,339,724 = 5,339,724 : x
  2. Step 2: Convert to fraction form
    2,586,830/5,339,724 = 5,339,724/x
  3. Step 3: Cross multiply
    2,586,830x = 5,339,724 × 5,339,724
  4. Step 4: Simplify right side
    2,586,830x = 28,512,652,396,176
  5. Step 5: Solve for x
    x = 28,512,652,396,176/2,586,830
  6. Step 6: Final answer
    x = 11,022,236.64

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.