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Finding the Third Proportional to 1,198,896 and 2,617,464

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Solution

The third proportional to 1,198,896 and 2,617,464 is: 5,714,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,896 : 2,617,464 = 2,617,464 : x
  2. Step 2: Convert to fraction form
    1,198,896/2,617,464 = 2,617,464/x
  3. Step 3: Cross multiply
    1,198,896x = 2,617,464 × 2,617,464
  4. Step 4: Simplify right side
    1,198,896x = 6,851,117,791,296
  5. Step 5: Solve for x
    x = 6,851,117,791,296/1,198,896
  6. Step 6: Final answer
    x = 5,714,522.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.