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Finding the Third Proportional to 470,859.75 and 1,002,402

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Solution

The third proportional to 470,859.75 and 1,002,402 is: 2,133,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,859.75 : 1,002,402 = 1,002,402 : x
  2. Step 2: Convert to fraction form
    470,859.75/1,002,402 = 1,002,402/x
  3. Step 3: Cross multiply
    470,859.75x = 1,002,402 × 1,002,402
  4. Step 4: Simplify right side
    470,859.75x = 1,004,809,769,604
  5. Step 5: Solve for x
    x = 1,004,809,769,604/470,859.75
  6. Step 6: Final answer
    x = 2,133,989.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.