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Finding the Third Proportional to 863,109 and 1,897,533

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Solution

The third proportional to 863,109 and 1,897,533 is: 4,171,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,109 : 1,897,533 = 1,897,533 : x
  2. Step 2: Convert to fraction form
    863,109/1,897,533 = 1,897,533/x
  3. Step 3: Cross multiply
    863,109x = 1,897,533 × 1,897,533
  4. Step 4: Simplify right side
    863,109x = 3,600,631,486,089
  5. Step 5: Solve for x
    x = 3,600,631,486,089/863,109
  6. Step 6: Final answer
    x = 4,171,699.62

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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.