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Finding the Third Proportional to 897,857 and 1,938,142

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Solution

The third proportional to 897,857 and 1,938,142 is: 4,183,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,857 : 1,938,142 = 1,938,142 : x
  2. Step 2: Convert to fraction form
    897,857/1,938,142 = 1,938,142/x
  3. Step 3: Cross multiply
    897,857x = 1,938,142 × 1,938,142
  4. Step 4: Simplify right side
    897,857x = 3,756,394,412,164
  5. Step 5: Solve for x
    x = 3,756,394,412,164/897,857
  6. Step 6: Final answer
    x = 4,183,733.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.