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Finding the Third Proportional to 683,172 and 1,026,954

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Solution

The third proportional to 683,172 and 1,026,954 is: 1,543,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,172 : 1,026,954 = 1,026,954 : x
  2. Step 2: Convert to fraction form
    683,172/1,026,954 = 1,026,954/x
  3. Step 3: Cross multiply
    683,172x = 1,026,954 × 1,026,954
  4. Step 4: Simplify right side
    683,172x = 1,054,634,518,116
  5. Step 5: Solve for x
    x = 1,054,634,518,116/683,172
  6. Step 6: Final answer
    x = 1,543,732.06

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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.