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Finding the Third Proportional to 2,004,123 and 4,205,184

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Solution

The third proportional to 2,004,123 and 4,205,184 is: 8,823,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,123 : 4,205,184 = 4,205,184 : x
  2. Step 2: Convert to fraction form
    2,004,123/4,205,184 = 4,205,184/x
  3. Step 3: Cross multiply
    2,004,123x = 4,205,184 × 4,205,184
  4. Step 4: Simplify right side
    2,004,123x = 17,683,572,473,856
  5. Step 5: Solve for x
    x = 17,683,572,473,856/2,004,123
  6. Step 6: Final answer
    x = 8,823,596.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.