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Finding the Third Proportional to 1,051,774 and 2,302,564

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Solution

The third proportional to 1,051,774 and 2,302,564 is: 5,040,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,774 : 2,302,564 = 2,302,564 : x
  2. Step 2: Convert to fraction form
    1,051,774/2,302,564 = 2,302,564/x
  3. Step 3: Cross multiply
    1,051,774x = 2,302,564 × 2,302,564
  4. Step 4: Simplify right side
    1,051,774x = 5,301,800,974,096
  5. Step 5: Solve for x
    x = 5,301,800,974,096/1,051,774
  6. Step 6: Final answer
    x = 5,040,817.68

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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.