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Finding the Third Proportional to 591,036 and 1,255,890

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Solution

The third proportional to 591,036 and 1,255,890 is: 2,668,635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,036 : 1,255,890 = 1,255,890 : x
  2. Step 2: Convert to fraction form
    591,036/1,255,890 = 1,255,890/x
  3. Step 3: Cross multiply
    591,036x = 1,255,890 × 1,255,890
  4. Step 4: Simplify right side
    591,036x = 1,577,259,692,100
  5. Step 5: Solve for x
    x = 1,577,259,692,100/591,036
  6. Step 6: Final answer
    x = 2,668,635.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.