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Finding the Third Proportional to 595,884 and 1,361,394

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Solution

The third proportional to 595,884 and 1,361,394 is: 3,110,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,884 : 1,361,394 = 1,361,394 : x
  2. Step 2: Convert to fraction form
    595,884/1,361,394 = 1,361,394/x
  3. Step 3: Cross multiply
    595,884x = 1,361,394 × 1,361,394
  4. Step 4: Simplify right side
    595,884x = 1,853,393,623,236
  5. Step 5: Solve for x
    x = 1,853,393,623,236/595,884
  6. Step 6: Final answer
    x = 3,110,326.21

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.