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Finding the Third Proportional to 519,860 and 1,137,556

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Solution

The third proportional to 519,860 and 1,137,556 is: 2,489,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,860 : 1,137,556 = 1,137,556 : x
  2. Step 2: Convert to fraction form
    519,860/1,137,556 = 1,137,556/x
  3. Step 3: Cross multiply
    519,860x = 1,137,556 × 1,137,556
  4. Step 4: Simplify right side
    519,860x = 1,294,033,653,136
  5. Step 5: Solve for x
    x = 1,294,033,653,136/519,860
  6. Step 6: Final answer
    x = 2,489,196.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.