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Finding the Third Proportional to 493,138 and 1,061,190

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Solution

The third proportional to 493,138 and 1,061,190 is: 2,283,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,138 : 1,061,190 = 1,061,190 : x
  2. Step 2: Convert to fraction form
    493,138/1,061,190 = 1,061,190/x
  3. Step 3: Cross multiply
    493,138x = 1,061,190 × 1,061,190
  4. Step 4: Simplify right side
    493,138x = 1,126,124,216,100
  5. Step 5: Solve for x
    x = 1,126,124,216,100/493,138
  6. Step 6: Final answer
    x = 2,283,588.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.