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Finding the Third Proportional to 4,540,673 and 6,830,085

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Solution

The third proportional to 4,540,673 and 6,830,085 is: 10,273,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540,673 : 6,830,085 = 6,830,085 : x
  2. Step 2: Convert to fraction form
    4,540,673/6,830,085 = 6,830,085/x
  3. Step 3: Cross multiply
    4,540,673x = 6,830,085 × 6,830,085
  4. Step 4: Simplify right side
    4,540,673x = 46,650,061,107,225
  5. Step 5: Solve for x
    x = 46,650,061,107,225/4,540,673
  6. Step 6: Final answer
    x = 10,273,820.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.