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Finding the Third Proportional to 536,838 and 1,169,580

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Solution

The third proportional to 536,838 and 1,169,580 is: 2,548,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,838 : 1,169,580 = 1,169,580 : x
  2. Step 2: Convert to fraction form
    536,838/1,169,580 = 1,169,580/x
  3. Step 3: Cross multiply
    536,838x = 1,169,580 × 1,169,580
  4. Step 4: Simplify right side
    536,838x = 1,367,917,376,400
  5. Step 5: Solve for x
    x = 1,367,917,376,400/536,838
  6. Step 6: Final answer
    x = 2,548,100.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.