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Finding the Third Proportional to 457,197 and 1,004,893.50

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Solution

The third proportional to 457,197 and 1,004,893.50 is: 2,208,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,197 : 1,004,893.50 = 1,004,893.50 : x
  2. Step 2: Convert to fraction form
    457,197/1,004,893.50 = 1,004,893.50/x
  3. Step 3: Cross multiply
    457,197x = 1,004,893.50 × 1,004,893.50
  4. Step 4: Simplify right side
    457,197x = 1,009,810,946,342.25
  5. Step 5: Solve for x
    x = 1,009,810,946,342.25/457,197
  6. Step 6: Final answer
    x = 2,208,699.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.