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Finding the Third Proportional to 3,086,301 and 4,584,741

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Solution

The third proportional to 3,086,301 and 4,584,741 is: 6,810,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,301 : 4,584,741 = 4,584,741 : x
  2. Step 2: Convert to fraction form
    3,086,301/4,584,741 = 4,584,741/x
  3. Step 3: Cross multiply
    3,086,301x = 4,584,741 × 4,584,741
  4. Step 4: Simplify right side
    3,086,301x = 21,019,850,037,081
  5. Step 5: Solve for x
    x = 21,019,850,037,081/3,086,301
  6. Step 6: Final answer
    x = 6,810,693.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.