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Finding the Third Proportional to 914,176 and 1,968,835

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Solution

The third proportional to 914,176 and 1,968,835 is: 4,240,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,176 : 1,968,835 = 1,968,835 : x
  2. Step 2: Convert to fraction form
    914,176/1,968,835 = 1,968,835/x
  3. Step 3: Cross multiply
    914,176x = 1,968,835 × 1,968,835
  4. Step 4: Simplify right side
    914,176x = 3,876,311,257,225
  5. Step 5: Solve for x
    x = 3,876,311,257,225/914,176
  6. Step 6: Final answer
    x = 4,240,224.26

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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.