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Finding the Third Proportional to 554,064 and 1,196,736

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Solution

The third proportional to 554,064 and 1,196,736 is: 2,584,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,064 : 1,196,736 = 1,196,736 : x
  2. Step 2: Convert to fraction form
    554,064/1,196,736 = 1,196,736/x
  3. Step 3: Cross multiply
    554,064x = 1,196,736 × 1,196,736
  4. Step 4: Simplify right side
    554,064x = 1,432,177,053,696
  5. Step 5: Solve for x
    x = 1,432,177,053,696/554,064
  6. Step 6: Final answer
    x = 2,584,858.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.