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Finding the Third Proportional to 845,220 and 1,879,424

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Solution

The third proportional to 845,220 and 1,879,424 is: 4,179,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,220 : 1,879,424 = 1,879,424 : x
  2. Step 2: Convert to fraction form
    845,220/1,879,424 = 1,879,424/x
  3. Step 3: Cross multiply
    845,220x = 1,879,424 × 1,879,424
  4. Step 4: Simplify right side
    845,220x = 3,532,234,571,776
  5. Step 5: Solve for x
    x = 3,532,234,571,776/845,220
  6. Step 6: Final answer
    x = 4,179,071.21

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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.