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Finding the Third Proportional to 873,932 and 1,180,742

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Solution

The third proportional to 873,932 and 1,180,742 is: 1,595,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,932 : 1,180,742 = 1,180,742 : x
  2. Step 2: Convert to fraction form
    873,932/1,180,742 = 1,180,742/x
  3. Step 3: Cross multiply
    873,932x = 1,180,742 × 1,180,742
  4. Step 4: Simplify right side
    873,932x = 1,394,151,670,564
  5. Step 5: Solve for x
    x = 1,394,151,670,564/873,932
  6. Step 6: Final answer
    x = 1,595,263.33

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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.