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Finding the Third Proportional to 683,042 and 1,019,026

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Solution

The third proportional to 683,042 and 1,019,026 is: 1,520,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,042 : 1,019,026 = 1,019,026 : x
  2. Step 2: Convert to fraction form
    683,042/1,019,026 = 1,019,026/x
  3. Step 3: Cross multiply
    683,042x = 1,019,026 × 1,019,026
  4. Step 4: Simplify right side
    683,042x = 1,038,413,988,676
  5. Step 5: Solve for x
    x = 1,038,413,988,676/683,042
  6. Step 6: Final answer
    x = 1,520,278.39

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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.