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Finding the Third Proportional to 601,434 and 846,203

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Solution

The third proportional to 601,434 and 846,203 is: 1,190,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,434 : 846,203 = 846,203 : x
  2. Step 2: Convert to fraction form
    601,434/846,203 = 846,203/x
  3. Step 3: Cross multiply
    601,434x = 846,203 × 846,203
  4. Step 4: Simplify right side
    601,434x = 716,059,517,209
  5. Step 5: Solve for x
    x = 716,059,517,209/601,434
  6. Step 6: Final answer
    x = 1,190,587.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.