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Finding the Third Proportional to 584,844 and 1,275,456

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Solution

The third proportional to 584,844 and 1,275,456 is: 2,781,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,844 : 1,275,456 = 1,275,456 : x
  2. Step 2: Convert to fraction form
    584,844/1,275,456 = 1,275,456/x
  3. Step 3: Cross multiply
    584,844x = 1,275,456 × 1,275,456
  4. Step 4: Simplify right side
    584,844x = 1,626,788,007,936
  5. Step 5: Solve for x
    x = 1,626,788,007,936/584,844
  6. Step 6: Final answer
    x = 2,781,575.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.