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Finding the Third Proportional to 448,958 and 997,561

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Solution

The third proportional to 448,958 and 997,561 is: 2,216,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,958 : 997,561 = 997,561 : x
  2. Step 2: Convert to fraction form
    448,958/997,561 = 997,561/x
  3. Step 3: Cross multiply
    448,958x = 997,561 × 997,561
  4. Step 4: Simplify right side
    448,958x = 995,127,948,721
  5. Step 5: Solve for x
    x = 995,127,948,721/448,958
  6. Step 6: Final answer
    x = 2,216,527.94

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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.