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Finding the Third Proportional to 654,611 and 1,015,969

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Solution

The third proportional to 654,611 and 1,015,969 is: 1,576,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,611 : 1,015,969 = 1,015,969 : x
  2. Step 2: Convert to fraction form
    654,611/1,015,969 = 1,015,969/x
  3. Step 3: Cross multiply
    654,611x = 1,015,969 × 1,015,969
  4. Step 4: Simplify right side
    654,611x = 1,032,193,008,961
  5. Step 5: Solve for x
    x = 1,032,193,008,961/654,611
  6. Step 6: Final answer
    x = 1,576,803.64

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