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Finding the Third Proportional to 993,123 and 2,105,412

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Solution

The third proportional to 993,123 and 2,105,412 is: 4,463,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,123 : 2,105,412 = 2,105,412 : x
  2. Step 2: Convert to fraction form
    993,123/2,105,412 = 2,105,412/x
  3. Step 3: Cross multiply
    993,123x = 2,105,412 × 2,105,412
  4. Step 4: Simplify right side
    993,123x = 4,432,759,689,744
  5. Step 5: Solve for x
    x = 4,432,759,689,744/993,123
  6. Step 6: Final answer
    x = 4,463,454.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.