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Finding the Third Proportional to 1,289,146 and 2,809,384

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Solution

The third proportional to 1,289,146 and 2,809,384 is: 6,122,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,146 : 2,809,384 = 2,809,384 : x
  2. Step 2: Convert to fraction form
    1,289,146/2,809,384 = 2,809,384/x
  3. Step 3: Cross multiply
    1,289,146x = 2,809,384 × 2,809,384
  4. Step 4: Simplify right side
    1,289,146x = 7,892,638,459,456
  5. Step 5: Solve for x
    x = 7,892,638,459,456/1,289,146
  6. Step 6: Final answer
    x = 6,122,377.50

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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.