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Finding the Third Proportional to 2,002,069 and 4,319,066

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Solution

The third proportional to 2,002,069 and 4,319,066 is: 9,317,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,069 : 4,319,066 = 4,319,066 : x
  2. Step 2: Convert to fraction form
    2,002,069/4,319,066 = 4,319,066/x
  3. Step 3: Cross multiply
    2,002,069x = 4,319,066 × 4,319,066
  4. Step 4: Simplify right side
    2,002,069x = 18,654,331,112,356
  5. Step 5: Solve for x
    x = 18,654,331,112,356/2,002,069
  6. Step 6: Final answer
    x = 9,317,526.57

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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.