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Finding the Third Proportional to 1,012,381.03 and 1,423,845.84

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Solution

The third proportional to 1,012,381.03 and 1,423,845.84 is: 2,002,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,381.03 : 1,423,845.84 = 1,423,845.84 : x
  2. Step 2: Convert to fraction form
    1,012,381.03/1,423,845.84 = 1,423,845.84/x
  3. Step 3: Cross multiply
    1,012,381.03x = 1,423,845.84 × 1,423,845.84
  4. Step 4: Simplify right side
    1,012,381.03x = 2,027,336,986,764.15
  5. Step 5: Solve for x
    x = 2,027,336,986,764.15/1,012,381.03
  6. Step 6: Final answer
    x = 2,002,543.43

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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.