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Finding the Third Proportional to 845,952 and 1,831,296

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Solution

The third proportional to 845,952 and 1,831,296 is: 3,964,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,952 : 1,831,296 = 1,831,296 : x
  2. Step 2: Convert to fraction form
    845,952/1,831,296 = 1,831,296/x
  3. Step 3: Cross multiply
    845,952x = 1,831,296 × 1,831,296
  4. Step 4: Simplify right side
    845,952x = 3,353,645,039,616
  5. Step 5: Solve for x
    x = 3,353,645,039,616/845,952
  6. Step 6: Final answer
    x = 3,964,344.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.