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Finding the Third Proportional to 2,090,193 and 3,054,639

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Solution

The third proportional to 2,090,193 and 3,054,639 is: 4,464,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,193 : 3,054,639 = 3,054,639 : x
  2. Step 2: Convert to fraction form
    2,090,193/3,054,639 = 3,054,639/x
  3. Step 3: Cross multiply
    2,090,193x = 3,054,639 × 3,054,639
  4. Step 4: Simplify right side
    2,090,193x = 9,330,819,420,321
  5. Step 5: Solve for x
    x = 9,330,819,420,321/2,090,193
  6. Step 6: Final answer
    x = 4,464,094.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.