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Finding the Third Proportional to 1,689,862.50 and 3,757,544.44

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Solution

The third proportional to 1,689,862.50 and 3,757,544.44 is: 8,355,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,862.50 : 3,757,544.44 = 3,757,544.44 : x
  2. Step 2: Convert to fraction form
    1,689,862.50/3,757,544.44 = 3,757,544.44/x
  3. Step 3: Cross multiply
    1,689,862.50x = 3,757,544.44 × 3,757,544.44
  4. Step 4: Simplify right side
    1,689,862.50x = 14,119,140,199,787.19
  5. Step 5: Solve for x
    x = 14,119,140,199,787.19/1,689,862.50
  6. Step 6: Final answer
    x = 8,355,200.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.