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Finding the Third Proportional to 449,580 and 962,926

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Solution

The third proportional to 449,580 and 962,926 is: 2,062,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,580 : 962,926 = 962,926 : x
  2. Step 2: Convert to fraction form
    449,580/962,926 = 962,926/x
  3. Step 3: Cross multiply
    449,580x = 962,926 × 962,926
  4. Step 4: Simplify right side
    449,580x = 927,226,481,476
  5. Step 5: Solve for x
    x = 927,226,481,476/449,580
  6. Step 6: Final answer
    x = 2,062,428.23

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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.