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Finding the Third Proportional to 3,302,980 and 4,827,016

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Solution

The third proportional to 3,302,980 and 4,827,016 is: 7,054,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302,980 : 4,827,016 = 4,827,016 : x
  2. Step 2: Convert to fraction form
    3,302,980/4,827,016 = 4,827,016/x
  3. Step 3: Cross multiply
    3,302,980x = 4,827,016 × 4,827,016
  4. Step 4: Simplify right side
    3,302,980x = 23,300,083,464,256
  5. Step 5: Solve for x
    x = 23,300,083,464,256/3,302,980
  6. Step 6: Final answer
    x = 7,054,261.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.