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Finding the Third Proportional to 1,681,224 and 3,648,228

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Solution

The third proportional to 1,681,224 and 3,648,228 is: 7,916,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,224 : 3,648,228 = 3,648,228 : x
  2. Step 2: Convert to fraction form
    1,681,224/3,648,228 = 3,648,228/x
  3. Step 3: Cross multiply
    1,681,224x = 3,648,228 × 3,648,228
  4. Step 4: Simplify right side
    1,681,224x = 13,309,567,539,984
  5. Step 5: Solve for x
    x = 13,309,567,539,984/1,681,224
  6. Step 6: Final answer
    x = 7,916,593.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.