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Finding the Third Proportional to 900,203.63 and 1,962,174.38

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Solution

The third proportional to 900,203.63 and 1,962,174.38 is: 4,276,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,203.63 : 1,962,174.38 = 1,962,174.38 : x
  2. Step 2: Convert to fraction form
    900,203.63/1,962,174.38 = 1,962,174.38/x
  3. Step 3: Cross multiply
    900,203.63x = 1,962,174.38 × 1,962,174.38
  4. Step 4: Simplify right side
    900,203.63x = 3,850,128,277,906.64
  5. Step 5: Solve for x
    x = 3,850,128,277,906.64/900,203.63
  6. Step 6: Final answer
    x = 4,276,952.65

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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.