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Finding the Third Proportional to 598,630 and 1,296,769

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Solution

The third proportional to 598,630 and 1,296,769 is: 2,809,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,630 : 1,296,769 = 1,296,769 : x
  2. Step 2: Convert to fraction form
    598,630/1,296,769 = 1,296,769/x
  3. Step 3: Cross multiply
    598,630x = 1,296,769 × 1,296,769
  4. Step 4: Simplify right side
    598,630x = 1,681,609,839,361
  5. Step 5: Solve for x
    x = 1,681,609,839,361/598,630
  6. Step 6: Final answer
    x = 2,809,097.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.