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Finding the Third Proportional to 410,353 and 926,074

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Solution

The third proportional to 410,353 and 926,074 is: 2,089,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,353 : 926,074 = 926,074 : x
  2. Step 2: Convert to fraction form
    410,353/926,074 = 926,074/x
  3. Step 3: Cross multiply
    410,353x = 926,074 × 926,074
  4. Step 4: Simplify right side
    410,353x = 857,613,053,476
  5. Step 5: Solve for x
    x = 857,613,053,476/410,353
  6. Step 6: Final answer
    x = 2,089,939.77

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.