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Finding the Third Proportional to 599,426 and 1,284,352

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Solution

The third proportional to 599,426 and 1,284,352 is: 2,751,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,426 : 1,284,352 = 1,284,352 : x
  2. Step 2: Convert to fraction form
    599,426/1,284,352 = 1,284,352/x
  3. Step 3: Cross multiply
    599,426x = 1,284,352 × 1,284,352
  4. Step 4: Simplify right side
    599,426x = 1,649,560,059,904
  5. Step 5: Solve for x
    x = 1,649,560,059,904/599,426
  6. Step 6: Final answer
    x = 2,751,899.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.