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Finding the Third Proportional to 1,525,920 and 3,314,016

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Solution

The third proportional to 1,525,920 and 3,314,016 is: 7,197,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,920 : 3,314,016 = 3,314,016 : x
  2. Step 2: Convert to fraction form
    1,525,920/3,314,016 = 3,314,016/x
  3. Step 3: Cross multiply
    1,525,920x = 3,314,016 × 3,314,016
  4. Step 4: Simplify right side
    1,525,920x = 10,982,702,048,256
  5. Step 5: Solve for x
    x = 10,982,702,048,256/1,525,920
  6. Step 6: Final answer
    x = 7,197,429.78

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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.