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Finding the Third Proportional to 401,586 and 836,466

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Solution

The third proportional to 401,586 and 836,466 is: 1,742,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,586 : 836,466 = 836,466 : x
  2. Step 2: Convert to fraction form
    401,586/836,466 = 836,466/x
  3. Step 3: Cross multiply
    401,586x = 836,466 × 836,466
  4. Step 4: Simplify right side
    401,586x = 699,675,369,156
  5. Step 5: Solve for x
    x = 699,675,369,156/401,586
  6. Step 6: Final answer
    x = 1,742,280.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.