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Finding the Third Proportional to 904,672.50 and 1,883,742

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Solution

The third proportional to 904,672.50 and 1,883,742 is: 3,922,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,672.50 : 1,883,742 = 1,883,742 : x
  2. Step 2: Convert to fraction form
    904,672.50/1,883,742 = 1,883,742/x
  3. Step 3: Cross multiply
    904,672.50x = 1,883,742 × 1,883,742
  4. Step 4: Simplify right side
    904,672.50x = 3,548,483,922,564
  5. Step 5: Solve for x
    x = 3,548,483,922,564/904,672.50
  6. Step 6: Final answer
    x = 3,922,396.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.