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Finding the Third Proportional to 654,162.19 and 1,385,999.44

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Solution

The third proportional to 654,162.19 and 1,385,999.44 is: 2,936,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,162.19 : 1,385,999.44 = 1,385,999.44 : x
  2. Step 2: Convert to fraction form
    654,162.19/1,385,999.44 = 1,385,999.44/x
  3. Step 3: Cross multiply
    654,162.19x = 1,385,999.44 × 1,385,999.44
  4. Step 4: Simplify right side
    654,162.19x = 1,920,994,440,750.32
  5. Step 5: Solve for x
    x = 1,920,994,440,750.32/654,162.19
  6. Step 6: Final answer
    x = 2,936,572.12

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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.