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Finding the Third Proportional to 897,936 and 1,394,121

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Solution

The third proportional to 897,936 and 1,394,121 is: 2,164,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,936 : 1,394,121 = 1,394,121 : x
  2. Step 2: Convert to fraction form
    897,936/1,394,121 = 1,394,121/x
  3. Step 3: Cross multiply
    897,936x = 1,394,121 × 1,394,121
  4. Step 4: Simplify right side
    897,936x = 1,943,573,362,641
  5. Step 5: Solve for x
    x = 1,943,573,362,641/897,936
  6. Step 6: Final answer
    x = 2,164,489.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.