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Finding the Third Proportional to 2,423,224 and 3,801,640

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Solution

The third proportional to 2,423,224 and 3,801,640 is: 5,964,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423,224 : 3,801,640 = 3,801,640 : x
  2. Step 2: Convert to fraction form
    2,423,224/3,801,640 = 3,801,640/x
  3. Step 3: Cross multiply
    2,423,224x = 3,801,640 × 3,801,640
  4. Step 4: Simplify right side
    2,423,224x = 14,452,466,689,600
  5. Step 5: Solve for x
    x = 14,452,466,689,600/2,423,224
  6. Step 6: Final answer
    x = 5,964,148.05

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.