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Finding the Third Proportional to 450,962 and 939,239

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Solution

The third proportional to 450,962 and 939,239 is: 1,956,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,962 : 939,239 = 939,239 : x
  2. Step 2: Convert to fraction form
    450,962/939,239 = 939,239/x
  3. Step 3: Cross multiply
    450,962x = 939,239 × 939,239
  4. Step 4: Simplify right side
    450,962x = 882,169,899,121
  5. Step 5: Solve for x
    x = 882,169,899,121/450,962
  6. Step 6: Final answer
    x = 1,956,195.64

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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.