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Finding the Third Proportional to 1,345,180 and 2,814,992

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Solution

The third proportional to 1,345,180 and 2,814,992 is: 5,890,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,180 : 2,814,992 = 2,814,992 : x
  2. Step 2: Convert to fraction form
    1,345,180/2,814,992 = 2,814,992/x
  3. Step 3: Cross multiply
    1,345,180x = 2,814,992 × 2,814,992
  4. Step 4: Simplify right side
    1,345,180x = 7,924,179,960,064
  5. Step 5: Solve for x
    x = 7,924,179,960,064/1,345,180
  6. Step 6: Final answer
    x = 5,890,795.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.