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Finding the Third Proportional to 746,546 and 1,617,508

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Solution

The third proportional to 746,546 and 1,617,508 is: 3,504,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,546 : 1,617,508 = 1,617,508 : x
  2. Step 2: Convert to fraction form
    746,546/1,617,508 = 1,617,508/x
  3. Step 3: Cross multiply
    746,546x = 1,617,508 × 1,617,508
  4. Step 4: Simplify right side
    746,546x = 2,616,332,130,064
  5. Step 5: Solve for x
    x = 2,616,332,130,064/746,546
  6. Step 6: Final answer
    x = 3,504,582.61

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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.