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Finding the Third Proportional to 2,070,418.50 and 4,517,271

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Solution

The third proportional to 2,070,418.50 and 4,517,271 is: 9,855,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070,418.50 : 4,517,271 = 4,517,271 : x
  2. Step 2: Convert to fraction form
    2,070,418.50/4,517,271 = 4,517,271/x
  3. Step 3: Cross multiply
    2,070,418.50x = 4,517,271 × 4,517,271
  4. Step 4: Simplify right side
    2,070,418.50x = 20,405,737,287,441
  5. Step 5: Solve for x
    x = 20,405,737,287,441/2,070,418.50
  6. Step 6: Final answer
    x = 9,855,851.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.