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Finding the Third Proportional to 1,202,798 and 2,617,338

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Solution

The third proportional to 1,202,798 and 2,617,338 is: 5,695,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,798 : 2,617,338 = 2,617,338 : x
  2. Step 2: Convert to fraction form
    1,202,798/2,617,338 = 2,617,338/x
  3. Step 3: Cross multiply
    1,202,798x = 2,617,338 × 2,617,338
  4. Step 4: Simplify right side
    1,202,798x = 6,850,458,206,244
  5. Step 5: Solve for x
    x = 6,850,458,206,244/1,202,798
  6. Step 6: Final answer
    x = 5,695,435.32

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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.