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Finding the Third Proportional to 1,045,268 and 2,289,823

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Solution

The third proportional to 1,045,268 and 2,289,823 is: 5,016,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,268 : 2,289,823 = 2,289,823 : x
  2. Step 2: Convert to fraction form
    1,045,268/2,289,823 = 2,289,823/x
  3. Step 3: Cross multiply
    1,045,268x = 2,289,823 × 2,289,823
  4. Step 4: Simplify right side
    1,045,268x = 5,243,289,371,329
  5. Step 5: Solve for x
    x = 5,243,289,371,329/1,045,268
  6. Step 6: Final answer
    x = 5,016,215.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.