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Finding the Third Proportional to 845,872 and 1,245,444

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Solution

The third proportional to 845,872 and 1,245,444 is: 1,833,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,872 : 1,245,444 = 1,245,444 : x
  2. Step 2: Convert to fraction form
    845,872/1,245,444 = 1,245,444/x
  3. Step 3: Cross multiply
    845,872x = 1,245,444 × 1,245,444
  4. Step 4: Simplify right side
    845,872x = 1,551,130,757,136
  5. Step 5: Solve for x
    x = 1,551,130,757,136/845,872
  6. Step 6: Final answer
    x = 1,833,765.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.