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Finding the Third Proportional to 449,457 and 962,883

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Solution

The third proportional to 449,457 and 962,883 is: 2,062,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,457 : 962,883 = 962,883 : x
  2. Step 2: Convert to fraction form
    449,457/962,883 = 962,883/x
  3. Step 3: Cross multiply
    449,457x = 962,883 × 962,883
  4. Step 4: Simplify right side
    449,457x = 927,143,671,689
  5. Step 5: Solve for x
    x = 927,143,671,689/449,457
  6. Step 6: Final answer
    x = 2,062,808.39

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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.