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Finding the Third Proportional to 1,213,384.75 and 2,640,177.50

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Solution

The third proportional to 1,213,384.75 and 2,640,177.50 is: 5,744,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,384.75 : 2,640,177.50 = 2,640,177.50 : x
  2. Step 2: Convert to fraction form
    1,213,384.75/2,640,177.50 = 2,640,177.50/x
  3. Step 3: Cross multiply
    1,213,384.75x = 2,640,177.50 × 2,640,177.50
  4. Step 4: Simplify right side
    1,213,384.75x = 6,970,537,231,506.25
  5. Step 5: Solve for x
    x = 6,970,537,231,506.25/1,213,384.75
  6. Step 6: Final answer
    x = 5,744,704.83

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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.