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Finding the Third Proportional to 590,442 and 939,965

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Solution

The third proportional to 590,442 and 939,965 is: 1,496,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,442 : 939,965 = 939,965 : x
  2. Step 2: Convert to fraction form
    590,442/939,965 = 939,965/x
  3. Step 3: Cross multiply
    590,442x = 939,965 × 939,965
  4. Step 4: Simplify right side
    590,442x = 883,534,201,225
  5. Step 5: Solve for x
    x = 883,534,201,225/590,442
  6. Step 6: Final answer
    x = 1,496,394.57

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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.