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Finding the Third Proportional to 2,049,537.94 and 3,063,011.20

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Solution

The third proportional to 2,049,537.94 and 3,063,011.20 is: 4,577,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,537.94 : 3,063,011.20 = 3,063,011.20 : x
  2. Step 2: Convert to fraction form
    2,049,537.94/3,063,011.20 = 3,063,011.20/x
  3. Step 3: Cross multiply
    2,049,537.94x = 3,063,011.20 × 3,063,011.20
  4. Step 4: Simplify right side
    2,049,537.94x = 9,382,037,630,469.26
  5. Step 5: Solve for x
    x = 9,382,037,630,469.26/2,049,537.94
  6. Step 6: Final answer
    x = 4,577,635.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.