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Finding the Third Proportional to 1,683,069 and 3,576,211

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Solution

The third proportional to 1,683,069 and 3,576,211 is: 7,598,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,069 : 3,576,211 = 3,576,211 : x
  2. Step 2: Convert to fraction form
    1,683,069/3,576,211 = 3,576,211/x
  3. Step 3: Cross multiply
    1,683,069x = 3,576,211 × 3,576,211
  4. Step 4: Simplify right side
    1,683,069x = 12,789,285,116,521
  5. Step 5: Solve for x
    x = 12,789,285,116,521/1,683,069
  6. Step 6: Final answer
    x = 7,598,788.35

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.