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Finding the Third Proportional to 777,466.69 and 1,704,403.69

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Solution

The third proportional to 777,466.69 and 1,704,403.69 is: 3,736,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,466.69 : 1,704,403.69 = 1,704,403.69 : x
  2. Step 2: Convert to fraction form
    777,466.69/1,704,403.69 = 1,704,403.69/x
  3. Step 3: Cross multiply
    777,466.69x = 1,704,403.69 × 1,704,403.69
  4. Step 4: Simplify right side
    777,466.69x = 2,904,991,929,963.60
  5. Step 5: Solve for x
    x = 2,904,991,929,963.60/777,466.69
  6. Step 6: Final answer
    x = 3,736,484.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.