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Finding the Third Proportional to 467,440.88 and 1,004,702.48

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Solution

The third proportional to 467,440.88 and 1,004,702.48 is: 2,159,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,440.88 : 1,004,702.48 = 1,004,702.48 : x
  2. Step 2: Convert to fraction form
    467,440.88/1,004,702.48 = 1,004,702.48/x
  3. Step 3: Cross multiply
    467,440.88x = 1,004,702.48 × 1,004,702.48
  4. Step 4: Simplify right side
    467,440.88x = 1,009,427,082,109.30
  5. Step 5: Solve for x
    x = 1,009,427,082,109.30/467,440.88
  6. Step 6: Final answer
    x = 2,159,475.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.