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Finding the Third Proportional to 777,615.19 and 1,593,973.69

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Solution

The third proportional to 777,615.19 and 1,593,973.69 is: 3,267,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,615.19 : 1,593,973.69 = 1,593,973.69 : x
  2. Step 2: Convert to fraction form
    777,615.19/1,593,973.69 = 1,593,973.69/x
  3. Step 3: Cross multiply
    777,615.19x = 1,593,973.69 × 1,593,973.69
  4. Step 4: Simplify right side
    777,615.19x = 2,540,752,116,442.35
  5. Step 5: Solve for x
    x = 2,540,752,116,442.35/777,615.19
  6. Step 6: Final answer
    x = 3,267,364.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.