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Finding the Third Proportional to 1,201,968 and 2,448,468

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Solution

The third proportional to 1,201,968 and 2,448,468 is: 4,987,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,968 : 2,448,468 = 2,448,468 : x
  2. Step 2: Convert to fraction form
    1,201,968/2,448,468 = 2,448,468/x
  3. Step 3: Cross multiply
    1,201,968x = 2,448,468 × 2,448,468
  4. Step 4: Simplify right side
    1,201,968x = 5,994,995,547,024
  5. Step 5: Solve for x
    x = 5,994,995,547,024/1,201,968
  6. Step 6: Final answer
    x = 4,987,649.88

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.