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Finding the Third Proportional to 459,989 and 1,007,458

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Solution

The third proportional to 459,989 and 1,007,458 is: 2,206,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,989 : 1,007,458 = 1,007,458 : x
  2. Step 2: Convert to fraction form
    459,989/1,007,458 = 1,007,458/x
  3. Step 3: Cross multiply
    459,989x = 1,007,458 × 1,007,458
  4. Step 4: Simplify right side
    459,989x = 1,014,971,621,764
  5. Step 5: Solve for x
    x = 1,014,971,621,764/459,989
  6. Step 6: Final answer
    x = 2,206,512.81

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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.