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Finding the Third Proportional to 448,959 and 997,564

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Solution

The third proportional to 448,959 and 997,564 is: 2,216,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,959 : 997,564 = 997,564 : x
  2. Step 2: Convert to fraction form
    448,959/997,564 = 997,564/x
  3. Step 3: Cross multiply
    448,959x = 997,564 × 997,564
  4. Step 4: Simplify right side
    448,959x = 995,133,934,096
  5. Step 5: Solve for x
    x = 995,133,934,096/448,959
  6. Step 6: Final answer
    x = 2,216,536.33

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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.