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Finding the Third Proportional to 2,005,135 and 4,329,898

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Solution

The third proportional to 2,005,135 and 4,329,898 is: 9,350,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,135 : 4,329,898 = 4,329,898 : x
  2. Step 2: Convert to fraction form
    2,005,135/4,329,898 = 4,329,898/x
  3. Step 3: Cross multiply
    2,005,135x = 4,329,898 × 4,329,898
  4. Step 4: Simplify right side
    2,005,135x = 18,748,016,690,404
  5. Step 5: Solve for x
    x = 18,748,016,690,404/2,005,135
  6. Step 6: Final answer
    x = 9,350,002.21

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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.