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Finding the Third Proportional to 579,746 and 866,954

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Solution

The third proportional to 579,746 and 866,954 is: 1,296,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,746 : 866,954 = 866,954 : x
  2. Step 2: Convert to fraction form
    579,746/866,954 = 866,954/x
  3. Step 3: Cross multiply
    579,746x = 866,954 × 866,954
  4. Step 4: Simplify right side
    579,746x = 751,609,238,116
  5. Step 5: Solve for x
    x = 751,609,238,116/579,746
  6. Step 6: Final answer
    x = 1,296,445.75

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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.