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Finding the Third Proportional to 2,842,713 and 4,641,401

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Solution

The third proportional to 2,842,713 and 4,641,401 is: 7,578,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,713 : 4,641,401 = 4,641,401 : x
  2. Step 2: Convert to fraction form
    2,842,713/4,641,401 = 4,641,401/x
  3. Step 3: Cross multiply
    2,842,713x = 4,641,401 × 4,641,401
  4. Step 4: Simplify right side
    2,842,713x = 21,542,603,242,801
  5. Step 5: Solve for x
    x = 21,542,603,242,801/2,842,713
  6. Step 6: Final answer
    x = 7,578,184.38

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.