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Finding the Third Proportional to 601,456 and 846,228

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Solution

The third proportional to 601,456 and 846,228 is: 1,190,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,456 : 846,228 = 846,228 : x
  2. Step 2: Convert to fraction form
    601,456/846,228 = 846,228/x
  3. Step 3: Cross multiply
    601,456x = 846,228 × 846,228
  4. Step 4: Simplify right side
    601,456x = 716,101,827,984
  5. Step 5: Solve for x
    x = 716,101,827,984/601,456
  6. Step 6: Final answer
    x = 1,190,613.82

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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.