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Finding the Third Proportional to 623,190.83 and 1,355,570.44

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Solution

The third proportional to 623,190.83 and 1,355,570.44 is: 2,948,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,190.83 : 1,355,570.44 = 1,355,570.44 : x
  2. Step 2: Convert to fraction form
    623,190.83/1,355,570.44 = 1,355,570.44/x
  3. Step 3: Cross multiply
    623,190.83x = 1,355,570.44 × 1,355,570.44
  4. Step 4: Simplify right side
    623,190.83x = 1,837,571,211,023.94
  5. Step 5: Solve for x
    x = 1,837,571,211,023.94/623,190.83
  6. Step 6: Final answer
    x = 2,948,649.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.