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Finding the Third Proportional to 845,013 and 1,878,929

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Solution

The third proportional to 845,013 and 1,878,929 is: 4,177,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,013 : 1,878,929 = 1,878,929 : x
  2. Step 2: Convert to fraction form
    845,013/1,878,929 = 1,878,929/x
  3. Step 3: Cross multiply
    845,013x = 1,878,929 × 1,878,929
  4. Step 4: Simplify right side
    845,013x = 3,530,374,187,041
  5. Step 5: Solve for x
    x = 3,530,374,187,041/845,013
  6. Step 6: Final answer
    x = 4,177,893.34

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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.