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Finding the Third Proportional to 401,610 and 836,511

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Solution

The third proportional to 401,610 and 836,511 is: 1,742,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,610 : 836,511 = 836,511 : x
  2. Step 2: Convert to fraction form
    401,610/836,511 = 836,511/x
  3. Step 3: Cross multiply
    401,610x = 836,511 × 836,511
  4. Step 4: Simplify right side
    401,610x = 699,750,653,121
  5. Step 5: Solve for x
    x = 699,750,653,121/401,610
  6. Step 6: Final answer
    x = 1,742,363.62

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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.