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Finding the Third Proportional to 738,396 and 1,609,668

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Solution

The third proportional to 738,396 and 1,609,668 is: 3,508,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,396 : 1,609,668 = 1,609,668 : x
  2. Step 2: Convert to fraction form
    738,396/1,609,668 = 1,609,668/x
  3. Step 3: Cross multiply
    738,396x = 1,609,668 × 1,609,668
  4. Step 4: Simplify right side
    738,396x = 2,591,031,070,224
  5. Step 5: Solve for x
    x = 2,591,031,070,224/738,396
  6. Step 6: Final answer
    x = 3,508,999.33

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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.