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Finding the Third Proportional to 467,511.75 and 1,023,701.63

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Solution

The third proportional to 467,511.75 and 1,023,701.63 is: 2,241,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,511.75 : 1,023,701.63 = 1,023,701.63 : x
  2. Step 2: Convert to fraction form
    467,511.75/1,023,701.63 = 1,023,701.63/x
  3. Step 3: Cross multiply
    467,511.75x = 1,023,701.63 × 1,023,701.63
  4. Step 4: Simplify right side
    467,511.75x = 1,047,965,017,027.64
  5. Step 5: Solve for x
    x = 1,047,965,017,027.64/467,511.75
  6. Step 6: Final answer
    x = 2,241,580.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.