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Finding the Third Proportional to 590,738 and 1,295,848

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Solution

The third proportional to 590,738 and 1,295,848 is: 2,842,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,738 : 1,295,848 = 1,295,848 : x
  2. Step 2: Convert to fraction form
    590,738/1,295,848 = 1,295,848/x
  3. Step 3: Cross multiply
    590,738x = 1,295,848 × 1,295,848
  4. Step 4: Simplify right side
    590,738x = 1,679,222,039,104
  5. Step 5: Solve for x
    x = 1,679,222,039,104/590,738
  6. Step 6: Final answer
    x = 2,842,583.41

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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.