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Finding the Third Proportional to 450,974 and 939,264

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Solution

The third proportional to 450,974 and 939,264 is: 1,956,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,974 : 939,264 = 939,264 : x
  2. Step 2: Convert to fraction form
    450,974/939,264 = 939,264/x
  3. Step 3: Cross multiply
    450,974x = 939,264 × 939,264
  4. Step 4: Simplify right side
    450,974x = 882,216,861,696
  5. Step 5: Solve for x
    x = 882,216,861,696/450,974
  6. Step 6: Final answer
    x = 1,956,247.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.