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Finding the Third Proportional to 1,047,690 and 2,262,324

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Solution

The third proportional to 1,047,690 and 2,262,324 is: 4,885,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,690 : 2,262,324 = 2,262,324 : x
  2. Step 2: Convert to fraction form
    1,047,690/2,262,324 = 2,262,324/x
  3. Step 3: Cross multiply
    1,047,690x = 2,262,324 × 2,262,324
  4. Step 4: Simplify right side
    1,047,690x = 5,118,109,880,976
  5. Step 5: Solve for x
    x = 5,118,109,880,976/1,047,690
  6. Step 6: Final answer
    x = 4,885,137.67

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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.