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Finding the Third Proportional to 1,299,664 and 2,703,328

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Solution

The third proportional to 1,299,664 and 2,703,328 is: 5,622,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,664 : 2,703,328 = 2,703,328 : x
  2. Step 2: Convert to fraction form
    1,299,664/2,703,328 = 2,703,328/x
  3. Step 3: Cross multiply
    1,299,664x = 2,703,328 × 2,703,328
  4. Step 4: Simplify right side
    1,299,664x = 7,307,982,275,584
  5. Step 5: Solve for x
    x = 7,307,982,275,584/1,299,664
  6. Step 6: Final answer
    x = 5,622,978.15

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.