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Finding the Third Proportional to 2,002,080 and 4,319,086

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Solution

The third proportional to 2,002,080 and 4,319,086 is: 9,317,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,080 : 4,319,086 = 4,319,086 : x
  2. Step 2: Convert to fraction form
    2,002,080/4,319,086 = 4,319,086/x
  3. Step 3: Cross multiply
    2,002,080x = 4,319,086 × 4,319,086
  4. Step 4: Simplify right side
    2,002,080x = 18,654,503,875,396
  5. Step 5: Solve for x
    x = 18,654,503,875,396/2,002,080
  6. Step 6: Final answer
    x = 9,317,561.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.