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Finding the Third Proportional to 513,945 and 1,104,435

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Solution

The third proportional to 513,945 and 1,104,435 is: 2,373,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,945 : 1,104,435 = 1,104,435 : x
  2. Step 2: Convert to fraction form
    513,945/1,104,435 = 1,104,435/x
  3. Step 3: Cross multiply
    513,945x = 1,104,435 × 1,104,435
  4. Step 4: Simplify right side
    513,945x = 1,219,776,669,225
  5. Step 5: Solve for x
    x = 1,219,776,669,225/513,945
  6. Step 6: Final answer
    x = 2,373,360.32

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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.