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Finding the Third Proportional to 1,186,573.50 and 2,588,766

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Solution

The third proportional to 1,186,573.50 and 2,588,766 is: 5,647,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,573.50 : 2,588,766 = 2,588,766 : x
  2. Step 2: Convert to fraction form
    1,186,573.50/2,588,766 = 2,588,766/x
  3. Step 3: Cross multiply
    1,186,573.50x = 2,588,766 × 2,588,766
  4. Step 4: Simplify right side
    1,186,573.50x = 6,701,709,402,756
  5. Step 5: Solve for x
    x = 6,701,709,402,756/1,186,573.50
  6. Step 6: Final answer
    x = 5,647,951.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.