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Finding the Third Proportional to 459,939 and 1,005,378

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Solution

The third proportional to 459,939 and 1,005,378 is: 2,197,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,939 : 1,005,378 = 1,005,378 : x
  2. Step 2: Convert to fraction form
    459,939/1,005,378 = 1,005,378/x
  3. Step 3: Cross multiply
    459,939x = 1,005,378 × 1,005,378
  4. Step 4: Simplify right side
    459,939x = 1,010,784,922,884
  5. Step 5: Solve for x
    x = 1,010,784,922,884/459,939
  6. Step 6: Final answer
    x = 2,197,649.96

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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.