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Finding the Third Proportional to 449,142 and 960,516

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Solution

The third proportional to 449,142 and 960,516 is: 2,054,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,142 : 960,516 = 960,516 : x
  2. Step 2: Convert to fraction form
    449,142/960,516 = 960,516/x
  3. Step 3: Cross multiply
    449,142x = 960,516 × 960,516
  4. Step 4: Simplify right side
    449,142x = 922,590,986,256
  5. Step 5: Solve for x
    x = 922,590,986,256/449,142
  6. Step 6: Final answer
    x = 2,054,118.71

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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.