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Finding the Third Proportional to 478,716 and 1,036,680

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Solution

The third proportional to 478,716 and 1,036,680 is: 2,244,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,716 : 1,036,680 = 1,036,680 : x
  2. Step 2: Convert to fraction form
    478,716/1,036,680 = 1,036,680/x
  3. Step 3: Cross multiply
    478,716x = 1,036,680 × 1,036,680
  4. Step 4: Simplify right side
    478,716x = 1,074,705,422,400
  5. Step 5: Solve for x
    x = 1,074,705,422,400/478,716
  6. Step 6: Final answer
    x = 2,244,974.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.