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Finding the Third Proportional to 2,047,830.50 and 3,179,647

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Solution

The third proportional to 2,047,830.50 and 3,179,647 is: 4,937,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,830.50 : 3,179,647 = 3,179,647 : x
  2. Step 2: Convert to fraction form
    2,047,830.50/3,179,647 = 3,179,647/x
  3. Step 3: Cross multiply
    2,047,830.50x = 3,179,647 × 3,179,647
  4. Step 4: Simplify right side
    2,047,830.50x = 10,110,155,044,609
  5. Step 5: Solve for x
    x = 10,110,155,044,609/2,047,830.50
  6. Step 6: Final answer
    x = 4,937,007.75

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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.