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Finding the Third Proportional to 746,562 and 1,617,540

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Solution

The third proportional to 746,562 and 1,617,540 is: 3,504,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,562 : 1,617,540 = 1,617,540 : x
  2. Step 2: Convert to fraction form
    746,562/1,617,540 = 1,617,540/x
  3. Step 3: Cross multiply
    746,562x = 1,617,540 × 1,617,540
  4. Step 4: Simplify right side
    746,562x = 2,616,435,651,600
  5. Step 5: Solve for x
    x = 2,616,435,651,600/746,562
  6. Step 6: Final answer
    x = 3,504,646.17

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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.