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Finding the Third Proportional to 873,838 and 1,180,608

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Solution

The third proportional to 873,838 and 1,180,608 is: 1,595,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,838 : 1,180,608 = 1,180,608 : x
  2. Step 2: Convert to fraction form
    873,838/1,180,608 = 1,180,608/x
  3. Step 3: Cross multiply
    873,838x = 1,180,608 × 1,180,608
  4. Step 4: Simplify right side
    873,838x = 1,393,835,249,664
  5. Step 5: Solve for x
    x = 1,393,835,249,664/873,838
  6. Step 6: Final answer
    x = 1,595,072.83

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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.