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Finding the Third Proportional to 470,736 and 1,036,485

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Solution

The third proportional to 470,736 and 1,036,485 is: 2,282,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,736 : 1,036,485 = 1,036,485 : x
  2. Step 2: Convert to fraction form
    470,736/1,036,485 = 1,036,485/x
  3. Step 3: Cross multiply
    470,736x = 1,036,485 × 1,036,485
  4. Step 4: Simplify right side
    470,736x = 1,074,301,155,225
  5. Step 5: Solve for x
    x = 1,074,301,155,225/470,736
  6. Step 6: Final answer
    x = 2,282,173.35

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