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Finding the Third Proportional to 738,743 and 1,617,610

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Solution

The third proportional to 738,743 and 1,617,610 is: 3,542,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,743 : 1,617,610 = 1,617,610 : x
  2. Step 2: Convert to fraction form
    738,743/1,617,610 = 1,617,610/x
  3. Step 3: Cross multiply
    738,743x = 1,617,610 × 1,617,610
  4. Step 4: Simplify right side
    738,743x = 2,616,662,112,100
  5. Step 5: Solve for x
    x = 2,616,662,112,100/738,743
  6. Step 6: Final answer
    x = 3,542,046.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.