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Finding the Third Proportional to 863,682 and 1,897,412

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Solution

The third proportional to 863,682 and 1,897,412 is: 4,168,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,682 : 1,897,412 = 1,897,412 : x
  2. Step 2: Convert to fraction form
    863,682/1,897,412 = 1,897,412/x
  3. Step 3: Cross multiply
    863,682x = 1,897,412 × 1,897,412
  4. Step 4: Simplify right side
    863,682x = 3,600,172,297,744
  5. Step 5: Solve for x
    x = 3,600,172,297,744/863,682
  6. Step 6: Final answer
    x = 4,168,400.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.