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Finding the Third Proportional to 897,865 and 1,938,163

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Solution

The third proportional to 897,865 and 1,938,163 is: 4,183,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,865 : 1,938,163 = 1,938,163 : x
  2. Step 2: Convert to fraction form
    897,865/1,938,163 = 1,938,163/x
  3. Step 3: Cross multiply
    897,865x = 1,938,163 × 1,938,163
  4. Step 4: Simplify right side
    897,865x = 3,756,475,814,569
  5. Step 5: Solve for x
    x = 3,756,475,814,569/897,865
  6. Step 6: Final answer
    x = 4,183,786.89

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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.