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Finding the Third Proportional to 1,942,551 and 4,537,147.50

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Solution

The third proportional to 1,942,551 and 4,537,147.50 is: 10,597,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,551 : 4,537,147.50 = 4,537,147.50 : x
  2. Step 2: Convert to fraction form
    1,942,551/4,537,147.50 = 4,537,147.50/x
  3. Step 3: Cross multiply
    1,942,551x = 4,537,147.50 × 4,537,147.50
  4. Step 4: Simplify right side
    1,942,551x = 20,585,707,436,756.25
  5. Step 5: Solve for x
    x = 20,585,707,436,756.25/1,942,551
  6. Step 6: Final answer
    x = 10,597,254.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.