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Finding the Third Proportional to 459,624.38 and 1,009,947.38

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Solution

The third proportional to 459,624.38 and 1,009,947.38 is: 2,219,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,624.38 : 1,009,947.38 = 1,009,947.38 : x
  2. Step 2: Convert to fraction form
    459,624.38/1,009,947.38 = 1,009,947.38/x
  3. Step 3: Cross multiply
    459,624.38x = 1,009,947.38 × 1,009,947.38
  4. Step 4: Simplify right side
    459,624.38x = 1,019,993,700,269.39
  5. Step 5: Solve for x
    x = 1,019,993,700,269.39/459,624.38
  6. Step 6: Final answer
    x = 2,219,189.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.