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Finding the Third Proportional to 598,514 and 1,313,310

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Solution

The third proportional to 598,514 and 1,313,310 is: 2,881,775.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,514 : 1,313,310 = 1,313,310 : x
  2. Step 2: Convert to fraction form
    598,514/1,313,310 = 1,313,310/x
  3. Step 3: Cross multiply
    598,514x = 1,313,310 × 1,313,310
  4. Step 4: Simplify right side
    598,514x = 1,724,783,156,100
  5. Step 5: Solve for x
    x = 1,724,783,156,100/598,514
  6. Step 6: Final answer
    x = 2,881,775.79

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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.