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Finding the Third Proportional to 1,207,225.69 and 2,558,383.31

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Solution

The third proportional to 1,207,225.69 and 2,558,383.31 is: 5,421,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,225.69 : 2,558,383.31 = 2,558,383.31 : x
  2. Step 2: Convert to fraction form
    1,207,225.69/2,558,383.31 = 2,558,383.31/x
  3. Step 3: Cross multiply
    1,207,225.69x = 2,558,383.31 × 2,558,383.31
  4. Step 4: Simplify right side
    1,207,225.69x = 6,545,325,173,678.47
  5. Step 5: Solve for x
    x = 6,545,325,173,678.47/1,207,225.69
  6. Step 6: Final answer
    x = 5,421,790.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.