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Finding the Third Proportional to 590,424 and 939,936

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Solution

The third proportional to 590,424 and 939,936 is: 1,496,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,424 : 939,936 = 939,936 : x
  2. Step 2: Convert to fraction form
    590,424/939,936 = 939,936/x
  3. Step 3: Cross multiply
    590,424x = 939,936 × 939,936
  4. Step 4: Simplify right side
    590,424x = 883,479,684,096
  5. Step 5: Solve for x
    x = 883,479,684,096/590,424
  6. Step 6: Final answer
    x = 1,496,347.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.