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Finding the Third Proportional to 622,116 and 1,456,794

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Solution

The third proportional to 622,116 and 1,456,794 is: 3,411,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,116 : 1,456,794 = 1,456,794 : x
  2. Step 2: Convert to fraction form
    622,116/1,456,794 = 1,456,794/x
  3. Step 3: Cross multiply
    622,116x = 1,456,794 × 1,456,794
  4. Step 4: Simplify right side
    622,116x = 2,122,248,758,436
  5. Step 5: Solve for x
    x = 2,122,248,758,436/622,116
  6. Step 6: Final answer
    x = 3,411,339.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.