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Finding the Third Proportional to 683,138 and 1,020,891

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Solution

The third proportional to 683,138 and 1,020,891 is: 1,525,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,138 : 1,020,891 = 1,020,891 : x
  2. Step 2: Convert to fraction form
    683,138/1,020,891 = 1,020,891/x
  3. Step 3: Cross multiply
    683,138x = 1,020,891 × 1,020,891
  4. Step 4: Simplify right side
    683,138x = 1,042,218,433,881
  5. Step 5: Solve for x
    x = 1,042,218,433,881/683,138
  6. Step 6: Final answer
    x = 1,525,633.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.