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Finding the Third Proportional to 387,026 and 821,074

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Solution

The third proportional to 387,026 and 821,074 is: 1,741,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,026 : 821,074 = 821,074 : x
  2. Step 2: Convert to fraction form
    387,026/821,074 = 821,074/x
  3. Step 3: Cross multiply
    387,026x = 821,074 × 821,074
  4. Step 4: Simplify right side
    387,026x = 674,162,513,476
  5. Step 5: Solve for x
    x = 674,162,513,476/387,026
  6. Step 6: Final answer
    x = 1,741,904.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.