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Finding the Third Proportional to 1,820,400 and 2,450,616

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Solution

The third proportional to 1,820,400 and 2,450,616 is: 3,299,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820,400 : 2,450,616 = 2,450,616 : x
  2. Step 2: Convert to fraction form
    1,820,400/2,450,616 = 2,450,616/x
  3. Step 3: Cross multiply
    1,820,400x = 2,450,616 × 2,450,616
  4. Step 4: Simplify right side
    1,820,400x = 6,005,518,779,456
  5. Step 5: Solve for x
    x = 6,005,518,779,456/1,820,400
  6. Step 6: Final answer
    x = 3,299,010.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.