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Finding the Third Proportional to 1,663,728 and 3,406,266

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Solution

The third proportional to 1,663,728 and 3,406,266 is: 6,973,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,728 : 3,406,266 = 3,406,266 : x
  2. Step 2: Convert to fraction form
    1,663,728/3,406,266 = 3,406,266/x
  3. Step 3: Cross multiply
    1,663,728x = 3,406,266 × 3,406,266
  4. Step 4: Simplify right side
    1,663,728x = 11,602,648,062,756
  5. Step 5: Solve for x
    x = 11,602,648,062,756/1,663,728
  6. Step 6: Final answer
    x = 6,973,885.19

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.