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Finding the Third Proportional to 2,002,023 and 4,318,973

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Solution

The third proportional to 2,002,023 and 4,318,973 is: 9,317,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,023 : 4,318,973 = 4,318,973 : x
  2. Step 2: Convert to fraction form
    2,002,023/4,318,973 = 4,318,973/x
  3. Step 3: Cross multiply
    2,002,023x = 4,318,973 × 4,318,973
  4. Step 4: Simplify right side
    2,002,023x = 18,653,527,774,729
  5. Step 5: Solve for x
    x = 18,653,527,774,729/2,002,023
  6. Step 6: Final answer
    x = 9,317,339.40

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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.