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Finding the Third Proportional to 1,152,608.80 and 2,529,419.27

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Solution

The third proportional to 1,152,608.80 and 2,529,419.27 is: 5,550,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,608.80 : 2,529,419.27 = 2,529,419.27 : x
  2. Step 2: Convert to fraction form
    1,152,608.80/2,529,419.27 = 2,529,419.27/x
  3. Step 3: Cross multiply
    1,152,608.80x = 2,529,419.27 × 2,529,419.27
  4. Step 4: Simplify right side
    1,152,608.80x = 6,397,961,860,837.60
  5. Step 5: Solve for x
    x = 6,397,961,860,837.60/1,152,608.80
  6. Step 6: Final answer
    x = 5,550,852.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.