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Finding the Third Proportional to 3,971,580 and 6,137,100

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Solution

The third proportional to 3,971,580 and 6,137,100 is: 9,483,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971,580 : 6,137,100 = 6,137,100 : x
  2. Step 2: Convert to fraction form
    3,971,580/6,137,100 = 6,137,100/x
  3. Step 3: Cross multiply
    3,971,580x = 6,137,100 × 6,137,100
  4. Step 4: Simplify right side
    3,971,580x = 37,663,996,410,000
  5. Step 5: Solve for x
    x = 37,663,996,410,000/3,971,580
  6. Step 6: Final answer
    x = 9,483,378.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.