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Finding the Third Proportional to 478,554 and 1,051,449

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Solution

The third proportional to 478,554 and 1,051,449 is: 2,310,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,554 : 1,051,449 = 1,051,449 : x
  2. Step 2: Convert to fraction form
    478,554/1,051,449 = 1,051,449/x
  3. Step 3: Cross multiply
    478,554x = 1,051,449 × 1,051,449
  4. Step 4: Simplify right side
    478,554x = 1,105,544,999,601
  5. Step 5: Solve for x
    x = 1,105,544,999,601/478,554
  6. Step 6: Final answer
    x = 2,310,178.16

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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.