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Finding the Third Proportional to 448,914 and 997,519

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Solution

The third proportional to 448,914 and 997,519 is: 2,216,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,914 : 997,519 = 997,519 : x
  2. Step 2: Convert to fraction form
    448,914/997,519 = 997,519/x
  3. Step 3: Cross multiply
    448,914x = 997,519 × 997,519
  4. Step 4: Simplify right side
    448,914x = 995,044,155,361
  5. Step 5: Solve for x
    x = 995,044,155,361/448,914
  6. Step 6: Final answer
    x = 2,216,558.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.