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Finding the Third Proportional to 767,007 and 1,668,689

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Solution

The third proportional to 767,007 and 1,668,689 is: 3,630,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,007 : 1,668,689 = 1,668,689 : x
  2. Step 2: Convert to fraction form
    767,007/1,668,689 = 1,668,689/x
  3. Step 3: Cross multiply
    767,007x = 1,668,689 × 1,668,689
  4. Step 4: Simplify right side
    767,007x = 2,784,522,978,721
  5. Step 5: Solve for x
    x = 2,784,522,978,721/767,007
  6. Step 6: Final answer
    x = 3,630,374.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.