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Finding the Third Proportional to 612,261 and 919,021.50

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Solution

The third proportional to 612,261 and 919,021.50 is: 1,379,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,261 : 919,021.50 = 919,021.50 : x
  2. Step 2: Convert to fraction form
    612,261/919,021.50 = 919,021.50/x
  3. Step 3: Cross multiply
    612,261x = 919,021.50 × 919,021.50
  4. Step 4: Simplify right side
    612,261x = 844,600,517,462.25
  5. Step 5: Solve for x
    x = 844,600,517,462.25/612,261
  6. Step 6: Final answer
    x = 1,379,477.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.