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Finding the Third Proportional to 459,718.03 and 1,002,202.03

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Solution

The third proportional to 459,718.03 and 1,002,202.03 is: 2,184,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,718.03 : 1,002,202.03 = 1,002,202.03 : x
  2. Step 2: Convert to fraction form
    459,718.03/1,002,202.03 = 1,002,202.03/x
  3. Step 3: Cross multiply
    459,718.03x = 1,002,202.03 × 1,002,202.03
  4. Step 4: Simplify right side
    459,718.03x = 1,004,408,911,441.63
  5. Step 5: Solve for x
    x = 1,004,408,911,441.63/459,718.03
  6. Step 6: Final answer
    x = 2,184,836.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.