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Finding the Third Proportional to 738,438 and 1,613,556

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Solution

The third proportional to 738,438 and 1,613,556 is: 3,525,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,438 : 1,613,556 = 1,613,556 : x
  2. Step 2: Convert to fraction form
    738,438/1,613,556 = 1,613,556/x
  3. Step 3: Cross multiply
    738,438x = 1,613,556 × 1,613,556
  4. Step 4: Simplify right side
    738,438x = 2,603,562,965,136
  5. Step 5: Solve for x
    x = 2,603,562,965,136/738,438
  6. Step 6: Final answer
    x = 3,525,770.57

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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.