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Finding the Third Proportional to 459,821 and 1,005,178

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Solution

The third proportional to 459,821 and 1,005,178 is: 2,197,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,821 : 1,005,178 = 1,005,178 : x
  2. Step 2: Convert to fraction form
    459,821/1,005,178 = 1,005,178/x
  3. Step 3: Cross multiply
    459,821x = 1,005,178 × 1,005,178
  4. Step 4: Simplify right side
    459,821x = 1,010,382,811,684
  5. Step 5: Solve for x
    x = 1,010,382,811,684/459,821
  6. Step 6: Final answer
    x = 2,197,339.42

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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.