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Finding the Third Proportional to 436,178 and 939,100

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Solution

The third proportional to 436,178 and 939,100 is: 2,021,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,178 : 939,100 = 939,100 : x
  2. Step 2: Convert to fraction form
    436,178/939,100 = 939,100/x
  3. Step 3: Cross multiply
    436,178x = 939,100 × 939,100
  4. Step 4: Simplify right side
    436,178x = 881,908,810,000
  5. Step 5: Solve for x
    x = 881,908,810,000/436,178
  6. Step 6: Final answer
    x = 2,021,901.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.