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Finding the Third Proportional to 1,648,201 and 3,422,724

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Solution

The third proportional to 1,648,201 and 3,422,724 is: 7,107,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,201 : 3,422,724 = 3,422,724 : x
  2. Step 2: Convert to fraction form
    1,648,201/3,422,724 = 3,422,724/x
  3. Step 3: Cross multiply
    1,648,201x = 3,422,724 × 3,422,724
  4. Step 4: Simplify right side
    1,648,201x = 11,715,039,580,176
  5. Step 5: Solve for x
    x = 11,715,039,580,176/1,648,201
  6. Step 6: Final answer
    x = 7,107,773.62

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.