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Finding the Third Proportional to 719,563.50 and 1,584,009

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Solution

The third proportional to 719,563.50 and 1,584,009 is: 3,486,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,563.50 : 1,584,009 = 1,584,009 : x
  2. Step 2: Convert to fraction form
    719,563.50/1,584,009 = 1,584,009/x
  3. Step 3: Cross multiply
    719,563.50x = 1,584,009 × 1,584,009
  4. Step 4: Simplify right side
    719,563.50x = 2,509,084,512,081
  5. Step 5: Solve for x
    x = 2,509,084,512,081/719,563.50
  6. Step 6: Final answer
    x = 3,486,953.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.