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Finding the Third Proportional to 480,822 and 1,028,349

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Solution

The third proportional to 480,822 and 1,028,349 is: 2,199,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,822 : 1,028,349 = 1,028,349 : x
  2. Step 2: Convert to fraction form
    480,822/1,028,349 = 1,028,349/x
  3. Step 3: Cross multiply
    480,822x = 1,028,349 × 1,028,349
  4. Step 4: Simplify right side
    480,822x = 1,057,501,665,801
  5. Step 5: Solve for x
    x = 1,057,501,665,801/480,822
  6. Step 6: Final answer
    x = 2,199,362.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.