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Finding the Third Proportional to 767,106 and 1,668,060

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Solution

The third proportional to 767,106 and 1,668,060 is: 3,627,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,106 : 1,668,060 = 1,668,060 : x
  2. Step 2: Convert to fraction form
    767,106/1,668,060 = 1,668,060/x
  3. Step 3: Cross multiply
    767,106x = 1,668,060 × 1,668,060
  4. Step 4: Simplify right side
    767,106x = 2,782,424,163,600
  5. Step 5: Solve for x
    x = 2,782,424,163,600/767,106
  6. Step 6: Final answer
    x = 3,627,170.38

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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.