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Finding the Third Proportional to 735,698 and 1,136,667

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Solution

The third proportional to 735,698 and 1,136,667 is: 1,756,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,698 : 1,136,667 = 1,136,667 : x
  2. Step 2: Convert to fraction form
    735,698/1,136,667 = 1,136,667/x
  3. Step 3: Cross multiply
    735,698x = 1,136,667 × 1,136,667
  4. Step 4: Simplify right side
    735,698x = 1,292,011,868,889
  5. Step 5: Solve for x
    x = 1,292,011,868,889/735,698
  6. Step 6: Final answer
    x = 1,756,171.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.