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Finding the Third Proportional to 469,130 and 1,022,462

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Solution

The third proportional to 469,130 and 1,022,462 is: 2,228,441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,130 : 1,022,462 = 1,022,462 : x
  2. Step 2: Convert to fraction form
    469,130/1,022,462 = 1,022,462/x
  3. Step 3: Cross multiply
    469,130x = 1,022,462 × 1,022,462
  4. Step 4: Simplify right side
    469,130x = 1,045,428,541,444
  5. Step 5: Solve for x
    x = 1,045,428,541,444/469,130
  6. Step 6: Final answer
    x = 2,228,441.03

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