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Finding the Third Proportional to 1,728,762.75 and 2,497,543.88

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Solution

The third proportional to 1,728,762.75 and 2,497,543.88 is: 3,608,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,762.75 : 2,497,543.88 = 2,497,543.88 : x
  2. Step 2: Convert to fraction form
    1,728,762.75/2,497,543.88 = 2,497,543.88/x
  3. Step 3: Cross multiply
    1,728,762.75x = 2,497,543.88 × 2,497,543.88
  4. Step 4: Simplify right side
    1,728,762.75x = 6,237,725,407,550.02
  5. Step 5: Solve for x
    x = 6,237,725,407,550.02/1,728,762.75
  6. Step 6: Final answer
    x = 3,608,202.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.