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Finding the Third Proportional to 598,540 and 1,313,388

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Solution

The third proportional to 598,540 and 1,313,388 is: 2,881,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,540 : 1,313,388 = 1,313,388 : x
  2. Step 2: Convert to fraction form
    598,540/1,313,388 = 1,313,388/x
  3. Step 3: Cross multiply
    598,540x = 1,313,388 × 1,313,388
  4. Step 4: Simplify right side
    598,540x = 1,724,988,038,544
  5. Step 5: Solve for x
    x = 1,724,988,038,544/598,540
  6. Step 6: Final answer
    x = 2,881,992.91

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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.