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Finding the Third Proportional to 1,835,719.50 and 2,580,533.25

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Solution

The third proportional to 1,835,719.50 and 2,580,533.25 is: 3,627,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,719.50 : 2,580,533.25 = 2,580,533.25 : x
  2. Step 2: Convert to fraction form
    1,835,719.50/2,580,533.25 = 2,580,533.25/x
  3. Step 3: Cross multiply
    1,835,719.50x = 2,580,533.25 × 2,580,533.25
  4. Step 4: Simplify right side
    1,835,719.50x = 6,659,151,854,355.56
  5. Step 5: Solve for x
    x = 6,659,151,854,355.56/1,835,719.50
  6. Step 6: Final answer
    x = 3,627,543.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.