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Finding the Third Proportional to 720,924.75 and 1,086,925.50

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Solution

The third proportional to 720,924.75 and 1,086,925.50 is: 1,638,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,924.75 : 1,086,925.50 = 1,086,925.50 : x
  2. Step 2: Convert to fraction form
    720,924.75/1,086,925.50 = 1,086,925.50/x
  3. Step 3: Cross multiply
    720,924.75x = 1,086,925.50 × 1,086,925.50
  4. Step 4: Simplify right side
    720,924.75x = 1,181,407,042,550.25
  5. Step 5: Solve for x
    x = 1,181,407,042,550.25/720,924.75
  6. Step 6: Final answer
    x = 1,638,738.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.