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Finding the Third Proportional to 461,173 and 991,235

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Solution

The third proportional to 461,173 and 991,235 is: 2,130,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,173 : 991,235 = 991,235 : x
  2. Step 2: Convert to fraction form
    461,173/991,235 = 991,235/x
  3. Step 3: Cross multiply
    461,173x = 991,235 × 991,235
  4. Step 4: Simplify right side
    461,173x = 982,546,825,225
  5. Step 5: Solve for x
    x = 982,546,825,225/461,173
  6. Step 6: Final answer
    x = 2,130,538.49

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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.