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Finding the Third Proportional to 449,399 and 954,202

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Solution

The third proportional to 449,399 and 954,202 is: 2,026,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,399 : 954,202 = 954,202 : x
  2. Step 2: Convert to fraction form
    449,399/954,202 = 954,202/x
  3. Step 3: Cross multiply
    449,399x = 954,202 × 954,202
  4. Step 4: Simplify right side
    449,399x = 910,501,456,804
  5. Step 5: Solve for x
    x = 910,501,456,804/449,399
  6. Step 6: Final answer
    x = 2,026,042.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.