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Finding the Third Proportional to 468,272 and 1,011,424

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Solution

The third proportional to 468,272 and 1,011,424 is: 2,184,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,272 : 1,011,424 = 1,011,424 : x
  2. Step 2: Convert to fraction form
    468,272/1,011,424 = 1,011,424/x
  3. Step 3: Cross multiply
    468,272x = 1,011,424 × 1,011,424
  4. Step 4: Simplify right side
    468,272x = 1,022,978,507,776
  5. Step 5: Solve for x
    x = 1,022,978,507,776/468,272
  6. Step 6: Final answer
    x = 2,184,581.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.