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Finding the Third Proportional to 1,798,800 and 3,830,652

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Solution

The third proportional to 1,798,800 and 3,830,652 is: 8,157,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,800 : 3,830,652 = 3,830,652 : x
  2. Step 2: Convert to fraction form
    1,798,800/3,830,652 = 3,830,652/x
  3. Step 3: Cross multiply
    1,798,800x = 3,830,652 × 3,830,652
  4. Step 4: Simplify right side
    1,798,800x = 14,673,894,745,104
  5. Step 5: Solve for x
    x = 14,673,894,745,104/1,798,800
  6. Step 6: Final answer
    x = 8,157,602.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.