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Finding the Third Proportional to 467,811 and 1,025,118

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Solution

The third proportional to 467,811 and 1,025,118 is: 2,246,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,811 : 1,025,118 = 1,025,118 : x
  2. Step 2: Convert to fraction form
    467,811/1,025,118 = 1,025,118/x
  3. Step 3: Cross multiply
    467,811x = 1,025,118 × 1,025,118
  4. Step 4: Simplify right side
    467,811x = 1,050,866,913,924
  5. Step 5: Solve for x
    x = 1,050,866,913,924/467,811
  6. Step 6: Final answer
    x = 2,246,349.30

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