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Finding the Third Proportional to 493,905 and 1,011,135

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Solution

The third proportional to 493,905 and 1,011,135 is: 2,070,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,905 : 1,011,135 = 1,011,135 : x
  2. Step 2: Convert to fraction form
    493,905/1,011,135 = 1,011,135/x
  3. Step 3: Cross multiply
    493,905x = 1,011,135 × 1,011,135
  4. Step 4: Simplify right side
    493,905x = 1,022,393,988,225
  5. Step 5: Solve for x
    x = 1,022,393,988,225/493,905
  6. Step 6: Final answer
    x = 2,070,021.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.