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Finding the Third Proportional to 467,600 and 1,014,904

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Solution

The third proportional to 467,600 and 1,014,904 is: 2,202,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,600 : 1,014,904 = 1,014,904 : x
  2. Step 2: Convert to fraction form
    467,600/1,014,904 = 1,014,904/x
  3. Step 3: Cross multiply
    467,600x = 1,014,904 × 1,014,904
  4. Step 4: Simplify right side
    467,600x = 1,030,030,129,216
  5. Step 5: Solve for x
    x = 1,030,030,129,216/467,600
  6. Step 6: Final answer
    x = 2,202,801.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.