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Finding the Third Proportional to 540,300 and 1,175,736

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Solution

The third proportional to 540,300 and 1,175,736 is: 2,558,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,300 : 1,175,736 = 1,175,736 : x
  2. Step 2: Convert to fraction form
    540,300/1,175,736 = 1,175,736/x
  3. Step 3: Cross multiply
    540,300x = 1,175,736 × 1,175,736
  4. Step 4: Simplify right side
    540,300x = 1,382,355,141,696
  5. Step 5: Solve for x
    x = 1,382,355,141,696/540,300
  6. Step 6: Final answer
    x = 2,558,495.54

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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.