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Finding the Third Proportional to 461,896 and 960,080

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Solution

The third proportional to 461,896 and 960,080 is: 1,995,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,896 : 960,080 = 960,080 : x
  2. Step 2: Convert to fraction form
    461,896/960,080 = 960,080/x
  3. Step 3: Cross multiply
    461,896x = 960,080 × 960,080
  4. Step 4: Simplify right side
    461,896x = 921,753,606,400
  5. Step 5: Solve for x
    x = 921,753,606,400/461,896
  6. Step 6: Final answer
    x = 1,995,586.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.