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Finding the Third Proportional to 449,146 and 960,524

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Solution

The third proportional to 449,146 and 960,524 is: 2,054,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,146 : 960,524 = 960,524 : x
  2. Step 2: Convert to fraction form
    449,146/960,524 = 960,524/x
  3. Step 3: Cross multiply
    449,146x = 960,524 × 960,524
  4. Step 4: Simplify right side
    449,146x = 922,606,354,576
  5. Step 5: Solve for x
    x = 922,606,354,576/449,146
  6. Step 6: Final answer
    x = 2,054,134.63

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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.