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Finding the Third Proportional to 4,194,802.69 and 6,477,651

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Solution

The third proportional to 4,194,802.69 and 6,477,651 is: 10,002,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,802.69 : 6,477,651 = 6,477,651 : x
  2. Step 2: Convert to fraction form
    4,194,802.69/6,477,651 = 6,477,651/x
  3. Step 3: Cross multiply
    4,194,802.69x = 6,477,651 × 6,477,651
  4. Step 4: Simplify right side
    4,194,802.69x = 41,959,962,477,801
  5. Step 5: Solve for x
    x = 41,959,962,477,801/4,194,802.69
  6. Step 6: Final answer
    x = 10,002,845.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.