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Finding the Third Proportional to 873,996 and 1,180,836

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Solution

The third proportional to 873,996 and 1,180,836 is: 1,595,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,996 : 1,180,836 = 1,180,836 : x
  2. Step 2: Convert to fraction form
    873,996/1,180,836 = 1,180,836/x
  3. Step 3: Cross multiply
    873,996x = 1,180,836 × 1,180,836
  4. Step 4: Simplify right side
    873,996x = 1,394,373,658,896
  5. Step 5: Solve for x
    x = 1,394,373,658,896/873,996
  6. Step 6: Final answer
    x = 1,595,400.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.