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Finding the Third Proportional to 590,571 and 916,191

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Solution

The third proportional to 590,571 and 916,191 is: 1,421,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,571 : 916,191 = 916,191 : x
  2. Step 2: Convert to fraction form
    590,571/916,191 = 916,191/x
  3. Step 3: Cross multiply
    590,571x = 916,191 × 916,191
  4. Step 4: Simplify right side
    590,571x = 839,405,948,481
  5. Step 5: Solve for x
    x = 839,405,948,481/590,571
  6. Step 6: Final answer
    x = 1,421,346.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.