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Finding the Third Proportional to 455,604 and 998,964

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Solution

The third proportional to 455,604 and 998,964 is: 2,190,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,604 : 998,964 = 998,964 : x
  2. Step 2: Convert to fraction form
    455,604/998,964 = 998,964/x
  3. Step 3: Cross multiply
    455,604x = 998,964 × 998,964
  4. Step 4: Simplify right side
    455,604x = 997,929,073,296
  5. Step 5: Solve for x
    x = 997,929,073,296/455,604
  6. Step 6: Final answer
    x = 2,190,343.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.