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Finding the Third Proportional to 2,866,256 and 4,284,408

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Solution

The third proportional to 2,866,256 and 4,284,408 is: 6,404,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866,256 : 4,284,408 = 4,284,408 : x
  2. Step 2: Convert to fraction form
    2,866,256/4,284,408 = 4,284,408/x
  3. Step 3: Cross multiply
    2,866,256x = 4,284,408 × 4,284,408
  4. Step 4: Simplify right side
    2,866,256x = 18,356,151,910,464
  5. Step 5: Solve for x
    x = 18,356,151,910,464/2,866,256
  6. Step 6: Final answer
    x = 6,404,226.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.