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Finding the Third Proportional to 3,489,853.50 and 5,213,943

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Solution

The third proportional to 3,489,853.50 and 5,213,943 is: 7,789,783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,853.50 : 5,213,943 = 5,213,943 : x
  2. Step 2: Convert to fraction form
    3,489,853.50/5,213,943 = 5,213,943/x
  3. Step 3: Cross multiply
    3,489,853.50x = 5,213,943 × 5,213,943
  4. Step 4: Simplify right side
    3,489,853.50x = 27,185,201,607,249
  5. Step 5: Solve for x
    x = 27,185,201,607,249/3,489,853.50
  6. Step 6: Final answer
    x = 7,789,783.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.