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Finding the Third Proportional to 1,285,938 and 2,765,421

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Solution

The third proportional to 1,285,938 and 2,765,421 is: 5,947,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,938 : 2,765,421 = 2,765,421 : x
  2. Step 2: Convert to fraction form
    1,285,938/2,765,421 = 2,765,421/x
  3. Step 3: Cross multiply
    1,285,938x = 2,765,421 × 2,765,421
  4. Step 4: Simplify right side
    1,285,938x = 7,647,553,307,241
  5. Step 5: Solve for x
    x = 7,647,553,307,241/1,285,938
  6. Step 6: Final answer
    x = 5,947,062.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.