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Finding the Third Proportional to 596,162 and 1,299,388

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Solution

The third proportional to 596,162 and 1,299,388 is: 2,832,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,162 : 1,299,388 = 1,299,388 : x
  2. Step 2: Convert to fraction form
    596,162/1,299,388 = 1,299,388/x
  3. Step 3: Cross multiply
    596,162x = 1,299,388 × 1,299,388
  4. Step 4: Simplify right side
    596,162x = 1,688,409,174,544
  5. Step 5: Solve for x
    x = 1,688,409,174,544/596,162
  6. Step 6: Final answer
    x = 2,832,131.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.