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Finding the Third Proportional to 746,560 and 1,617,536

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Solution

The third proportional to 746,560 and 1,617,536 is: 3,504,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,560 : 1,617,536 = 1,617,536 : x
  2. Step 2: Convert to fraction form
    746,560/1,617,536 = 1,617,536/x
  3. Step 3: Cross multiply
    746,560x = 1,617,536 × 1,617,536
  4. Step 4: Simplify right side
    746,560x = 2,616,422,711,296
  5. Step 5: Solve for x
    x = 2,616,422,711,296/746,560
  6. Step 6: Final answer
    x = 3,504,638.22

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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.