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Finding the Third Proportional to 450,242 and 960,736

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Solution

The third proportional to 450,242 and 960,736 is: 2,050,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,242 : 960,736 = 960,736 : x
  2. Step 2: Convert to fraction form
    450,242/960,736 = 960,736/x
  3. Step 3: Cross multiply
    450,242x = 960,736 × 960,736
  4. Step 4: Simplify right side
    450,242x = 923,013,661,696
  5. Step 5: Solve for x
    x = 923,013,661,696/450,242
  6. Step 6: Final answer
    x = 2,050,039.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.