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Finding the Third Proportional to 683,075 and 1,019,069

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Solution

The third proportional to 683,075 and 1,019,069 is: 1,520,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,075 : 1,019,069 = 1,019,069 : x
  2. Step 2: Convert to fraction form
    683,075/1,019,069 = 1,019,069/x
  3. Step 3: Cross multiply
    683,075x = 1,019,069 × 1,019,069
  4. Step 4: Simplify right side
    683,075x = 1,038,501,626,761
  5. Step 5: Solve for x
    x = 1,038,501,626,761/683,075
  6. Step 6: Final answer
    x = 1,520,333.24

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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.