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Finding the Third Proportional to 590,406 and 939,911

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Solution

The third proportional to 590,406 and 939,911 is: 1,496,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,406 : 939,911 = 939,911 : x
  2. Step 2: Convert to fraction form
    590,406/939,911 = 939,911/x
  3. Step 3: Cross multiply
    590,406x = 939,911 × 939,911
  4. Step 4: Simplify right side
    590,406x = 883,432,687,921
  5. Step 5: Solve for x
    x = 883,432,687,921/590,406
  6. Step 6: Final answer
    x = 1,496,313.87

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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.