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Finding the Third Proportional to 897,954 and 1,394,149.50

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Solution

The third proportional to 897,954 and 1,394,149.50 is: 2,164,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,954 : 1,394,149.50 = 1,394,149.50 : x
  2. Step 2: Convert to fraction form
    897,954/1,394,149.50 = 1,394,149.50/x
  3. Step 3: Cross multiply
    897,954x = 1,394,149.50 × 1,394,149.50
  4. Step 4: Simplify right side
    897,954x = 1,943,652,828,350.25
  5. Step 5: Solve for x
    x = 1,943,652,828,350.25/897,954
  6. Step 6: Final answer
    x = 2,164,534.96

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Why These Related Problems?

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