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Finding the Third Proportional to 1,380,412 and 2,952,736

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Solution

The third proportional to 1,380,412 and 2,952,736 is: 6,315,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,412 : 2,952,736 = 2,952,736 : x
  2. Step 2: Convert to fraction form
    1,380,412/2,952,736 = 2,952,736/x
  3. Step 3: Cross multiply
    1,380,412x = 2,952,736 × 2,952,736
  4. Step 4: Simplify right side
    1,380,412x = 8,718,649,885,696
  5. Step 5: Solve for x
    x = 8,718,649,885,696/1,380,412
  6. Step 6: Final answer
    x = 6,315,976.60

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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.