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Finding the Third Proportional to 471,925 and 1,022,584

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Solution

The third proportional to 471,925 and 1,022,584 is: 2,215,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,925 : 1,022,584 = 1,022,584 : x
  2. Step 2: Convert to fraction form
    471,925/1,022,584 = 1,022,584/x
  3. Step 3: Cross multiply
    471,925x = 1,022,584 × 1,022,584
  4. Step 4: Simplify right side
    471,925x = 1,045,678,037,056
  5. Step 5: Solve for x
    x = 1,045,678,037,056/471,925
  6. Step 6: Final answer
    x = 2,215,771.65

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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.