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Finding the Third Proportional to 767,009 and 1,668,693

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Solution

The third proportional to 767,009 and 1,668,693 is: 3,630,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,009 : 1,668,693 = 1,668,693 : x
  2. Step 2: Convert to fraction form
    767,009/1,668,693 = 1,668,693/x
  3. Step 3: Cross multiply
    767,009x = 1,668,693 × 1,668,693
  4. Step 4: Simplify right side
    767,009x = 2,784,536,328,249
  5. Step 5: Solve for x
    x = 2,784,536,328,249/767,009
  6. Step 6: Final answer
    x = 3,630,382.86

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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.