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Finding the Third Proportional to 897,884 and 1,938,204

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Solution

The third proportional to 897,884 and 1,938,204 is: 4,183,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,884 : 1,938,204 = 1,938,204 : x
  2. Step 2: Convert to fraction form
    897,884/1,938,204 = 1,938,204/x
  3. Step 3: Cross multiply
    897,884x = 1,938,204 × 1,938,204
  4. Step 4: Simplify right side
    897,884x = 3,756,634,745,616
  5. Step 5: Solve for x
    x = 3,756,634,745,616/897,884
  6. Step 6: Final answer
    x = 4,183,875.36

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Why These Related Problems?

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