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Finding the Third Proportional to 1,540,503 and 3,127,661

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Solution

The third proportional to 1,540,503 and 3,127,661 is: 6,350,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,503 : 3,127,661 = 3,127,661 : x
  2. Step 2: Convert to fraction form
    1,540,503/3,127,661 = 3,127,661/x
  3. Step 3: Cross multiply
    1,540,503x = 3,127,661 × 3,127,661
  4. Step 4: Simplify right side
    1,540,503x = 9,782,263,330,921
  5. Step 5: Solve for x
    x = 9,782,263,330,921/1,540,503
  6. Step 6: Final answer
    x = 6,350,044.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.