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Finding the Third Proportional to 483,580 and 1,045,016

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Solution

The third proportional to 483,580 and 1,045,016 is: 2,258,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,580 : 1,045,016 = 1,045,016 : x
  2. Step 2: Convert to fraction form
    483,580/1,045,016 = 1,045,016/x
  3. Step 3: Cross multiply
    483,580x = 1,045,016 × 1,045,016
  4. Step 4: Simplify right side
    483,580x = 1,092,058,440,256
  5. Step 5: Solve for x
    x = 1,092,058,440,256/483,580
  6. Step 6: Final answer
    x = 2,258,278.75

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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.