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Finding the Third Proportional to 2,243,353 and 4,892,723

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Solution

The third proportional to 2,243,353 and 4,892,723 is: 10,670,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,353 : 4,892,723 = 4,892,723 : x
  2. Step 2: Convert to fraction form
    2,243,353/4,892,723 = 4,892,723/x
  3. Step 3: Cross multiply
    2,243,353x = 4,892,723 × 4,892,723
  4. Step 4: Simplify right side
    2,243,353x = 23,938,738,354,729
  5. Step 5: Solve for x
    x = 23,938,738,354,729/2,243,353
  6. Step 6: Final answer
    x = 10,670,963.67

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Why These Related Problems?

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