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Finding the Third Proportional to 967,569 and 1,353,443.50

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Solution

The third proportional to 967,569 and 1,353,443.50 is: 1,893,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,569 : 1,353,443.50 = 1,353,443.50 : x
  2. Step 2: Convert to fraction form
    967,569/1,353,443.50 = 1,353,443.50/x
  3. Step 3: Cross multiply
    967,569x = 1,353,443.50 × 1,353,443.50
  4. Step 4: Simplify right side
    967,569x = 1,831,809,307,692.25
  5. Step 5: Solve for x
    x = 1,831,809,307,692.25/967,569
  6. Step 6: Final answer
    x = 1,893,207.93

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.