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Finding the Third Proportional to 638,388 and 1,350,540

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Solution

The third proportional to 638,388 and 1,350,540 is: 2,857,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,388 : 1,350,540 = 1,350,540 : x
  2. Step 2: Convert to fraction form
    638,388/1,350,540 = 1,350,540/x
  3. Step 3: Cross multiply
    638,388x = 1,350,540 × 1,350,540
  4. Step 4: Simplify right side
    638,388x = 1,823,958,291,600
  5. Step 5: Solve for x
    x = 1,823,958,291,600/638,388
  6. Step 6: Final answer
    x = 2,857,131.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.