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Finding the Third Proportional to 590,404 and 939,908

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Solution

The third proportional to 590,404 and 939,908 is: 1,496,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,404 : 939,908 = 939,908 : x
  2. Step 2: Convert to fraction form
    590,404/939,908 = 939,908/x
  3. Step 3: Cross multiply
    590,404x = 939,908 × 939,908
  4. Step 4: Simplify right side
    590,404x = 883,427,048,464
  5. Step 5: Solve for x
    x = 883,427,048,464/590,404
  6. Step 6: Final answer
    x = 1,496,309.39

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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.