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Finding the Third Proportional to 1,204,302.94 and 1,761,236.16

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Solution

The third proportional to 1,204,302.94 and 1,761,236.16 is: 2,575,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,302.94 : 1,761,236.16 = 1,761,236.16 : x
  2. Step 2: Convert to fraction form
    1,204,302.94/1,761,236.16 = 1,761,236.16/x
  3. Step 3: Cross multiply
    1,204,302.94x = 1,761,236.16 × 1,761,236.16
  4. Step 4: Simplify right side
    1,204,302.94x = 3,101,952,798,082.27
  5. Step 5: Solve for x
    x = 3,101,952,798,082.27/1,204,302.94
  6. Step 6: Final answer
    x = 2,575,724.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.