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Finding the Third Proportional to 2,738,578.50 and 4,257,210.94

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Solution

The third proportional to 2,738,578.50 and 4,257,210.94 is: 6,617,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,578.50 : 4,257,210.94 = 4,257,210.94 : x
  2. Step 2: Convert to fraction form
    2,738,578.50/4,257,210.94 = 4,257,210.94/x
  3. Step 3: Cross multiply
    2,738,578.50x = 4,257,210.94 × 4,257,210.94
  4. Step 4: Simplify right side
    2,738,578.50x = 18,123,844,966,369.63
  5. Step 5: Solve for x
    x = 18,123,844,966,369.63/2,738,578.50
  6. Step 6: Final answer
    x = 6,617,975.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.