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Finding the Third Proportional to 494,356 and 1,084,964

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Solution

The third proportional to 494,356 and 1,084,964 is: 2,381,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,356 : 1,084,964 = 1,084,964 : x
  2. Step 2: Convert to fraction form
    494,356/1,084,964 = 1,084,964/x
  3. Step 3: Cross multiply
    494,356x = 1,084,964 × 1,084,964
  4. Step 4: Simplify right side
    494,356x = 1,177,146,881,296
  5. Step 5: Solve for x
    x = 1,177,146,881,296/494,356
  6. Step 6: Final answer
    x = 2,381,172.44

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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.