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Finding the Third Proportional to 461,178 and 991,244

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Solution

The third proportional to 461,178 and 991,244 is: 2,130,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,178 : 991,244 = 991,244 : x
  2. Step 2: Convert to fraction form
    461,178/991,244 = 991,244/x
  3. Step 3: Cross multiply
    461,178x = 991,244 × 991,244
  4. Step 4: Simplify right side
    461,178x = 982,564,667,536
  5. Step 5: Solve for x
    x = 982,564,667,536/461,178
  6. Step 6: Final answer
    x = 2,130,554.08

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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.