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Finding the Third Proportional to 3,122,553.38 and 4,899,470.63

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Solution

The third proportional to 3,122,553.38 and 4,899,470.63 is: 7,687,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122,553.38 : 4,899,470.63 = 4,899,470.63 : x
  2. Step 2: Convert to fraction form
    3,122,553.38/4,899,470.63 = 4,899,470.63/x
  3. Step 3: Cross multiply
    3,122,553.38x = 4,899,470.63 × 4,899,470.63
  4. Step 4: Simplify right side
    3,122,553.38x = 24,004,812,405,237.89
  5. Step 5: Solve for x
    x = 24,004,812,405,237.89/3,122,553.38
  6. Step 6: Final answer
    x = 7,687,558.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.