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Finding the Third Proportional to 767,110 and 1,668,068

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Solution

The third proportional to 767,110 and 1,668,068 is: 3,627,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,110 : 1,668,068 = 1,668,068 : x
  2. Step 2: Convert to fraction form
    767,110/1,668,068 = 1,668,068/x
  3. Step 3: Cross multiply
    767,110x = 1,668,068 × 1,668,068
  4. Step 4: Simplify right side
    767,110x = 2,782,450,852,624
  5. Step 5: Solve for x
    x = 2,782,450,852,624/767,110
  6. Step 6: Final answer
    x = 3,627,186.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.