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Finding the Third Proportional to 1,168,529.25 and 1,748,123.25

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Solution

The third proportional to 1,168,529.25 and 1,748,123.25 is: 2,615,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,529.25 : 1,748,123.25 = 1,748,123.25 : x
  2. Step 2: Convert to fraction form
    1,168,529.25/1,748,123.25 = 1,748,123.25/x
  3. Step 3: Cross multiply
    1,168,529.25x = 1,748,123.25 × 1,748,123.25
  4. Step 4: Simplify right side
    1,168,529.25x = 3,055,934,897,190.56
  5. Step 5: Solve for x
    x = 3,055,934,897,190.56/1,168,529.25
  6. Step 6: Final answer
    x = 2,615,197.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.