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Finding the Third Proportional to 493,890 and 1,001,405

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Solution

The third proportional to 493,890 and 1,001,405 is: 2,030,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,890 : 1,001,405 = 1,001,405 : x
  2. Step 2: Convert to fraction form
    493,890/1,001,405 = 1,001,405/x
  3. Step 3: Cross multiply
    493,890x = 1,001,405 × 1,001,405
  4. Step 4: Simplify right side
    493,890x = 1,002,811,974,025
  5. Step 5: Solve for x
    x = 1,002,811,974,025/493,890
  6. Step 6: Final answer
    x = 2,030,435.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.