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Finding the Third Proportional to 682,038 and 1,018,845

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Solution

The third proportional to 682,038 and 1,018,845 is: 1,521,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,038 : 1,018,845 = 1,018,845 : x
  2. Step 2: Convert to fraction form
    682,038/1,018,845 = 1,018,845/x
  3. Step 3: Cross multiply
    682,038x = 1,018,845 × 1,018,845
  4. Step 4: Simplify right side
    682,038x = 1,038,045,134,025
  5. Step 5: Solve for x
    x = 1,038,045,134,025/682,038
  6. Step 6: Final answer
    x = 1,521,975.51

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Why These Related Problems?

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