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Finding the Third Proportional to 459,091.13 and 999,496.13

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Solution

The third proportional to 459,091.13 and 999,496.13 is: 2,176,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,091.13 : 999,496.13 = 999,496.13 : x
  2. Step 2: Convert to fraction form
    459,091.13/999,496.13 = 999,496.13/x
  3. Step 3: Cross multiply
    459,091.13x = 999,496.13 × 999,496.13
  4. Step 4: Simplify right side
    459,091.13x = 998,992,503,890.02
  5. Step 5: Solve for x
    x = 998,992,503,890.02/459,091.13
  6. Step 6: Final answer
    x = 2,176,022.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.