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Finding the Third Proportional to 687,188.25 and 1,048,550.63

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Solution

The third proportional to 687,188.25 and 1,048,550.63 is: 1,599,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,188.25 : 1,048,550.63 = 1,048,550.63 : x
  2. Step 2: Convert to fraction form
    687,188.25/1,048,550.63 = 1,048,550.63/x
  3. Step 3: Cross multiply
    687,188.25x = 1,048,550.63 × 1,048,550.63
  4. Step 4: Simplify right side
    687,188.25x = 1,099,458,413,187.89
  5. Step 5: Solve for x
    x = 1,099,458,413,187.89/687,188.25
  6. Step 6: Final answer
    x = 1,599,937.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.