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Finding the Third Proportional to 1,029,409 and 1,485,059

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Solution

The third proportional to 1,029,409 and 1,485,059 is: 2,142,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,409 : 1,485,059 = 1,485,059 : x
  2. Step 2: Convert to fraction form
    1,029,409/1,485,059 = 1,485,059/x
  3. Step 3: Cross multiply
    1,029,409x = 1,485,059 × 1,485,059
  4. Step 4: Simplify right side
    1,029,409x = 2,205,400,233,481
  5. Step 5: Solve for x
    x = 2,205,400,233,481/1,029,409
  6. Step 6: Final answer
    x = 2,142,394.55

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.