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Finding the Third Proportional to 446,284 and 965,084

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Solution

The third proportional to 446,284 and 965,084 is: 2,086,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,284 : 965,084 = 965,084 : x
  2. Step 2: Convert to fraction form
    446,284/965,084 = 965,084/x
  3. Step 3: Cross multiply
    446,284x = 965,084 × 965,084
  4. Step 4: Simplify right side
    446,284x = 931,387,127,056
  5. Step 5: Solve for x
    x = 931,387,127,056/446,284
  6. Step 6: Final answer
    x = 2,086,983.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.