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Finding the Third Proportional to 490,464 and 1,047,456

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Solution

The third proportional to 490,464 and 1,047,456 is: 2,236,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,464 : 1,047,456 = 1,047,456 : x
  2. Step 2: Convert to fraction form
    490,464/1,047,456 = 1,047,456/x
  3. Step 3: Cross multiply
    490,464x = 1,047,456 × 1,047,456
  4. Step 4: Simplify right side
    490,464x = 1,097,164,071,936
  5. Step 5: Solve for x
    x = 1,097,164,071,936/490,464
  6. Step 6: Final answer
    x = 2,236,992.06

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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.