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Finding the Third Proportional to 459,744 and 1,011,648

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Solution

The third proportional to 459,744 and 1,011,648 is: 2,226,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,744 : 1,011,648 = 1,011,648 : x
  2. Step 2: Convert to fraction form
    459,744/1,011,648 = 1,011,648/x
  3. Step 3: Cross multiply
    459,744x = 1,011,648 × 1,011,648
  4. Step 4: Simplify right side
    459,744x = 1,023,431,675,904
  5. Step 5: Solve for x
    x = 1,023,431,675,904/459,744
  6. Step 6: Final answer
    x = 2,226,090.34

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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.