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Finding the Third Proportional to 904,419 and 1,966,302

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Solution

The third proportional to 904,419 and 1,966,302 is: 4,274,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,419 : 1,966,302 = 1,966,302 : x
  2. Step 2: Convert to fraction form
    904,419/1,966,302 = 1,966,302/x
  3. Step 3: Cross multiply
    904,419x = 1,966,302 × 1,966,302
  4. Step 4: Simplify right side
    904,419x = 3,866,343,555,204
  5. Step 5: Solve for x
    x = 3,866,343,555,204/904,419
  6. Step 6: Final answer
    x = 4,274,947.29

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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.