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Finding the Third Proportional to 446,282 and 965,080

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Solution

The third proportional to 446,282 and 965,080 is: 2,086,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,282 : 965,080 = 965,080 : x
  2. Step 2: Convert to fraction form
    446,282/965,080 = 965,080/x
  3. Step 3: Cross multiply
    446,282x = 965,080 × 965,080
  4. Step 4: Simplify right side
    446,282x = 931,379,406,400
  5. Step 5: Solve for x
    x = 931,379,406,400/446,282
  6. Step 6: Final answer
    x = 2,086,975.07

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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.