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Finding the Third Proportional to 409,964.63 and 846,190.13

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Solution

The third proportional to 409,964.63 and 846,190.13 is: 1,746,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,964.63 : 846,190.13 = 846,190.13 : x
  2. Step 2: Convert to fraction form
    409,964.63/846,190.13 = 846,190.13/x
  3. Step 3: Cross multiply
    409,964.63x = 846,190.13 × 846,190.13
  4. Step 4: Simplify right side
    409,964.63x = 716,037,727,647.52
  5. Step 5: Solve for x
    x = 716,037,727,647.52/409,964.63
  6. Step 6: Final answer
    x = 1,746,584.18

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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.