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Finding the Third Proportional to 598,534 and 1,313,374

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Solution

The third proportional to 598,534 and 1,313,374 is: 2,881,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,534 : 1,313,374 = 1,313,374 : x
  2. Step 2: Convert to fraction form
    598,534/1,313,374 = 1,313,374/x
  3. Step 3: Cross multiply
    598,534x = 1,313,374 × 1,313,374
  4. Step 4: Simplify right side
    598,534x = 1,724,951,263,876
  5. Step 5: Solve for x
    x = 1,724,951,263,876/598,534
  6. Step 6: Final answer
    x = 2,881,960.36

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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.