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Finding the Third Proportional to 449,477 and 965,658

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Solution

The third proportional to 449,477 and 965,658 is: 2,074,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,477 : 965,658 = 965,658 : x
  2. Step 2: Convert to fraction form
    449,477/965,658 = 965,658/x
  3. Step 3: Cross multiply
    449,477x = 965,658 × 965,658
  4. Step 4: Simplify right side
    449,477x = 932,495,372,964
  5. Step 5: Solve for x
    x = 932,495,372,964/449,477
  6. Step 6: Final answer
    x = 2,074,623.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.