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Finding the Third Proportional to 1,198,543.50 and 2,567,664

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Solution

The third proportional to 1,198,543.50 and 2,567,664 is: 5,500,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,543.50 : 2,567,664 = 2,567,664 : x
  2. Step 2: Convert to fraction form
    1,198,543.50/2,567,664 = 2,567,664/x
  3. Step 3: Cross multiply
    1,198,543.50x = 2,567,664 × 2,567,664
  4. Step 4: Simplify right side
    1,198,543.50x = 6,592,898,416,896
  5. Step 5: Solve for x
    x = 6,592,898,416,896/1,198,543.50
  6. Step 6: Final answer
    x = 5,500,758.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.