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Finding the Third Proportional to 470,744 and 1,036,502

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Solution

The third proportional to 470,744 and 1,036,502 is: 2,282,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,744 : 1,036,502 = 1,036,502 : x
  2. Step 2: Convert to fraction form
    470,744/1,036,502 = 1,036,502/x
  3. Step 3: Cross multiply
    470,744x = 1,036,502 × 1,036,502
  4. Step 4: Simplify right side
    470,744x = 1,074,336,396,004
  5. Step 5: Solve for x
    x = 1,074,336,396,004/470,744
  6. Step 6: Final answer
    x = 2,282,209.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.