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Finding the Third Proportional to 448,855.31 and 959,918.63

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Solution

The third proportional to 448,855.31 and 959,918.63 is: 2,052,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,855.31 : 959,918.63 = 959,918.63 : x
  2. Step 2: Convert to fraction form
    448,855.31/959,918.63 = 959,918.63/x
  3. Step 3: Cross multiply
    448,855.31x = 959,918.63 × 959,918.63
  4. Step 4: Simplify right side
    448,855.31x = 921,443,766,621.89
  5. Step 5: Solve for x
    x = 921,443,766,621.89/448,855.31
  6. Step 6: Final answer
    x = 2,052,874.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.