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Finding the Third Proportional to 590,873 and 1,424,559

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Solution

The third proportional to 590,873 and 1,424,559 is: 3,434,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,873 : 1,424,559 = 1,424,559 : x
  2. Step 2: Convert to fraction form
    590,873/1,424,559 = 1,424,559/x
  3. Step 3: Cross multiply
    590,873x = 1,424,559 × 1,424,559
  4. Step 4: Simplify right side
    590,873x = 2,029,368,344,481
  5. Step 5: Solve for x
    x = 2,029,368,344,481/590,873
  6. Step 6: Final answer
    x = 3,434,525.43

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.