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Finding the Third Proportional to 746,324 and 1,610,536

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Solution

The third proportional to 746,324 and 1,610,536 is: 3,475,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,324 : 1,610,536 = 1,610,536 : x
  2. Step 2: Convert to fraction form
    746,324/1,610,536 = 1,610,536/x
  3. Step 3: Cross multiply
    746,324x = 1,610,536 × 1,610,536
  4. Step 4: Simplify right side
    746,324x = 2,593,826,207,296
  5. Step 5: Solve for x
    x = 2,593,826,207,296/746,324
  6. Step 6: Final answer
    x = 3,475,469.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.