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Finding the Third Proportional to 1,199,101 and 2,569,140

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Solution

The third proportional to 1,199,101 and 2,569,140 is: 5,504,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,101 : 2,569,140 = 2,569,140 : x
  2. Step 2: Convert to fraction form
    1,199,101/2,569,140 = 2,569,140/x
  3. Step 3: Cross multiply
    1,199,101x = 2,569,140 × 2,569,140
  4. Step 4: Simplify right side
    1,199,101x = 6,600,480,339,600
  5. Step 5: Solve for x
    x = 6,600,480,339,600/1,199,101
  6. Step 6: Final answer
    x = 5,504,524.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.