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Finding the Third Proportional to 2,786,915.74 and 4,072,829.03

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Solution

The third proportional to 2,786,915.74 and 4,072,829.03 is: 5,952,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786,915.74 : 4,072,829.03 = 4,072,829.03 : x
  2. Step 2: Convert to fraction form
    2,786,915.74/4,072,829.03 = 4,072,829.03/x
  3. Step 3: Cross multiply
    2,786,915.74x = 4,072,829.03 × 4,072,829.03
  4. Step 4: Simplify right side
    2,786,915.74x = 16,587,936,285,974.24
  5. Step 5: Solve for x
    x = 16,587,936,285,974.24/2,786,915.74
  6. Step 6: Final answer
    x = 5,952,076.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.