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Finding the Third Proportional to 409,967 and 846,194

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Solution

The third proportional to 409,967 and 846,194 is: 1,746,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,967 : 846,194 = 846,194 : x
  2. Step 2: Convert to fraction form
    409,967/846,194 = 846,194/x
  3. Step 3: Cross multiply
    409,967x = 846,194 × 846,194
  4. Step 4: Simplify right side
    409,967x = 716,044,285,636
  5. Step 5: Solve for x
    x = 716,044,285,636/409,967
  6. Step 6: Final answer
    x = 1,746,590.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.