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Finding the Third Proportional to 459,987 and 1,007,454

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Solution

The third proportional to 459,987 and 1,007,454 is: 2,206,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,987 : 1,007,454 = 1,007,454 : x
  2. Step 2: Convert to fraction form
    459,987/1,007,454 = 1,007,454/x
  3. Step 3: Cross multiply
    459,987x = 1,007,454 × 1,007,454
  4. Step 4: Simplify right side
    459,987x = 1,014,963,562,116
  5. Step 5: Solve for x
    x = 1,014,963,562,116/459,987
  6. Step 6: Final answer
    x = 2,206,504.88

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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.