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Finding the Third Proportional to 449,028 and 953,406

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Solution

The third proportional to 449,028 and 953,406 is: 2,024,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,028 : 953,406 = 953,406 : x
  2. Step 2: Convert to fraction form
    449,028/953,406 = 953,406/x
  3. Step 3: Cross multiply
    449,028x = 953,406 × 953,406
  4. Step 4: Simplify right side
    449,028x = 908,983,000,836
  5. Step 5: Solve for x
    x = 908,983,000,836/449,028
  6. Step 6: Final answer
    x = 2,024,334.79

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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.