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Finding the Third Proportional to 845,187.75 and 1,879,348.50

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Solution

The third proportional to 845,187.75 and 1,879,348.50 is: 4,178,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,187.75 : 1,879,348.50 = 1,879,348.50 : x
  2. Step 2: Convert to fraction form
    845,187.75/1,879,348.50 = 1,879,348.50/x
  3. Step 3: Cross multiply
    845,187.75x = 1,879,348.50 × 1,879,348.50
  4. Step 4: Simplify right side
    845,187.75x = 3,531,950,784,452.25
  5. Step 5: Solve for x
    x = 3,531,950,784,452.25/845,187.75
  6. Step 6: Final answer
    x = 4,178,894.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.