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Finding the Third Proportional to 590,436 and 939,956

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Solution

The third proportional to 590,436 and 939,956 is: 1,496,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,436 : 939,956 = 939,956 : x
  2. Step 2: Convert to fraction form
    590,436/939,956 = 939,956/x
  3. Step 3: Cross multiply
    590,436x = 939,956 × 939,956
  4. Step 4: Simplify right side
    590,436x = 883,517,281,936
  5. Step 5: Solve for x
    x = 883,517,281,936/590,436
  6. Step 6: Final answer
    x = 1,496,381.12

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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.