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Finding the Third Proportional to 492,123 and 1,073,184

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Solution

The third proportional to 492,123 and 1,073,184 is: 2,340,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,123 : 1,073,184 = 1,073,184 : x
  2. Step 2: Convert to fraction form
    492,123/1,073,184 = 1,073,184/x
  3. Step 3: Cross multiply
    492,123x = 1,073,184 × 1,073,184
  4. Step 4: Simplify right side
    492,123x = 1,151,723,897,856
  5. Step 5: Solve for x
    x = 1,151,723,897,856/492,123
  6. Step 6: Final answer
    x = 2,340,317.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.