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Finding the Third Proportional to 2,550,178.69 and 4,282,897.78

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Solution

The third proportional to 2,550,178.69 and 4,282,897.78 is: 7,192,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550,178.69 : 4,282,897.78 = 4,282,897.78 : x
  2. Step 2: Convert to fraction form
    2,550,178.69/4,282,897.78 = 4,282,897.78/x
  3. Step 3: Cross multiply
    2,550,178.69x = 4,282,897.78 × 4,282,897.78
  4. Step 4: Simplify right side
    2,550,178.69x = 18,343,213,404,636.17
  5. Step 5: Solve for x
    x = 18,343,213,404,636.17/2,550,178.69
  6. Step 6: Final answer
    x = 7,192,912.99

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.