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Finding the Third Proportional to 598,567 and 1,313,545

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Solution

The third proportional to 598,567 and 1,313,545 is: 2,882,551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,567 : 1,313,545 = 1,313,545 : x
  2. Step 2: Convert to fraction form
    598,567/1,313,545 = 1,313,545/x
  3. Step 3: Cross multiply
    598,567x = 1,313,545 × 1,313,545
  4. Step 4: Simplify right side
    598,567x = 1,725,400,467,025
  5. Step 5: Solve for x
    x = 1,725,400,467,025/598,567
  6. Step 6: Final answer
    x = 2,882,551.94

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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.