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Finding the Third Proportional to 701,462 and 1,512,382

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Solution

The third proportional to 701,462 and 1,512,382 is: 3,260,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,462 : 1,512,382 = 1,512,382 : x
  2. Step 2: Convert to fraction form
    701,462/1,512,382 = 1,512,382/x
  3. Step 3: Cross multiply
    701,462x = 1,512,382 × 1,512,382
  4. Step 4: Simplify right side
    701,462x = 2,287,299,313,924
  5. Step 5: Solve for x
    x = 2,287,299,313,924/701,462
  6. Step 6: Final answer
    x = 3,260,760.12

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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.