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Finding the Third Proportional to 496,962 and 1,091,550

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Solution

The third proportional to 496,962 and 1,091,550 is: 2,397,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,962 : 1,091,550 = 1,091,550 : x
  2. Step 2: Convert to fraction form
    496,962/1,091,550 = 1,091,550/x
  3. Step 3: Cross multiply
    496,962x = 1,091,550 × 1,091,550
  4. Step 4: Simplify right side
    496,962x = 1,191,481,402,500
  5. Step 5: Solve for x
    x = 1,191,481,402,500/496,962
  6. Step 6: Final answer
    x = 2,397,530.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.