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Finding the Third Proportional to 589,815 and 1,279,503

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Solution

The third proportional to 589,815 and 1,279,503 is: 2,775,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,815 : 1,279,503 = 1,279,503 : x
  2. Step 2: Convert to fraction form
    589,815/1,279,503 = 1,279,503/x
  3. Step 3: Cross multiply
    589,815x = 1,279,503 × 1,279,503
  4. Step 4: Simplify right side
    589,815x = 1,637,127,927,009
  5. Step 5: Solve for x
    x = 1,637,127,927,009/589,815
  6. Step 6: Final answer
    x = 2,775,663.43

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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.