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Finding the Third Proportional to 459,624 and 1,009,947

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Solution

The third proportional to 459,624 and 1,009,947 is: 2,219,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,624 : 1,009,947 = 1,009,947 : x
  2. Step 2: Convert to fraction form
    459,624/1,009,947 = 1,009,947/x
  3. Step 3: Cross multiply
    459,624x = 1,009,947 × 1,009,947
  4. Step 4: Simplify right side
    459,624x = 1,019,992,942,809
  5. Step 5: Solve for x
    x = 1,019,992,942,809/459,624
  6. Step 6: Final answer
    x = 2,219,189.91

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