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Finding the Third Proportional to 461,142.38 and 972,415.13

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Solution

The third proportional to 461,142.38 and 972,415.13 is: 2,050,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,142.38 : 972,415.13 = 972,415.13 : x
  2. Step 2: Convert to fraction form
    461,142.38/972,415.13 = 972,415.13/x
  3. Step 3: Cross multiply
    461,142.38x = 972,415.13 × 972,415.13
  4. Step 4: Simplify right side
    461,142.38x = 945,591,175,328.77
  5. Step 5: Solve for x
    x = 945,591,175,328.77/461,142.38
  6. Step 6: Final answer
    x = 2,050,540.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.