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Finding the Third Proportional to 1,583,296 and 3,450,765

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Solution

The third proportional to 1,583,296 and 3,450,765 is: 7,520,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,296 : 3,450,765 = 3,450,765 : x
  2. Step 2: Convert to fraction form
    1,583,296/3,450,765 = 3,450,765/x
  3. Step 3: Cross multiply
    1,583,296x = 3,450,765 × 3,450,765
  4. Step 4: Simplify right side
    1,583,296x = 11,907,779,085,225
  5. Step 5: Solve for x
    x = 11,907,779,085,225/1,583,296
  6. Step 6: Final answer
    x = 7,520,879.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.