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Finding the Third Proportional to 2,749,674.09 and 4,040,277.47

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Solution

The third proportional to 2,749,674.09 and 4,040,277.47 is: 5,936,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749,674.09 : 4,040,277.47 = 4,040,277.47 : x
  2. Step 2: Convert to fraction form
    2,749,674.09/4,040,277.47 = 4,040,277.47/x
  3. Step 3: Cross multiply
    2,749,674.09x = 4,040,277.47 × 4,040,277.47
  4. Step 4: Simplify right side
    2,749,674.09x = 16,323,842,024,488.91
  5. Step 5: Solve for x
    x = 16,323,842,024,488.91/2,749,674.09
  6. Step 6: Final answer
    x = 5,936,646.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.