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Finding the Third Proportional to 897,964.50 and 1,394,165.25

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Solution

The third proportional to 897,964.50 and 1,394,165.25 is: 2,164,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,964.50 : 1,394,165.25 = 1,394,165.25 : x
  2. Step 2: Convert to fraction form
    897,964.50/1,394,165.25 = 1,394,165.25/x
  3. Step 3: Cross multiply
    897,964.50x = 1,394,165.25 × 1,394,165.25
  4. Step 4: Simplify right side
    897,964.50x = 1,943,696,744,307.56
  5. Step 5: Solve for x
    x = 1,943,696,744,307.56/897,964.50
  6. Step 6: Final answer
    x = 2,164,558.56

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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.