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Finding the Third Proportional to 448,976 and 997,595

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Solution

The third proportional to 448,976 and 997,595 is: 2,216,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,976 : 997,595 = 997,595 : x
  2. Step 2: Convert to fraction form
    448,976/997,595 = 997,595/x
  3. Step 3: Cross multiply
    448,976x = 997,595 × 997,595
  4. Step 4: Simplify right side
    448,976x = 995,195,784,025
  5. Step 5: Solve for x
    x = 995,195,784,025/448,976
  6. Step 6: Final answer
    x = 2,216,590.16

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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.