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Finding the Third Proportional to 633,566 and 1,378,667

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Solution

The third proportional to 633,566 and 1,378,667 is: 3,000,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,566 : 1,378,667 = 1,378,667 : x
  2. Step 2: Convert to fraction form
    633,566/1,378,667 = 1,378,667/x
  3. Step 3: Cross multiply
    633,566x = 1,378,667 × 1,378,667
  4. Step 4: Simplify right side
    633,566x = 1,900,722,696,889
  5. Step 5: Solve for x
    x = 1,900,722,696,889/633,566
  6. Step 6: Final answer
    x = 3,000,038.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.