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Finding the Third Proportional to 448,936 and 997,524

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Solution

The third proportional to 448,936 and 997,524 is: 2,216,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,936 : 997,524 = 997,524 : x
  2. Step 2: Convert to fraction form
    448,936/997,524 = 997,524/x
  3. Step 3: Cross multiply
    448,936x = 997,524 × 997,524
  4. Step 4: Simplify right side
    448,936x = 995,054,130,576
  5. Step 5: Solve for x
    x = 995,054,130,576/448,936
  6. Step 6: Final answer
    x = 2,216,472.13

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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.