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Finding the Third Proportional to 2,853,824 and 4,416,968

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Solution

The third proportional to 2,853,824 and 4,416,968 is: 6,836,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,824 : 4,416,968 = 4,416,968 : x
  2. Step 2: Convert to fraction form
    2,853,824/4,416,968 = 4,416,968/x
  3. Step 3: Cross multiply
    2,853,824x = 4,416,968 × 4,416,968
  4. Step 4: Simplify right side
    2,853,824x = 19,509,606,313,024
  5. Step 5: Solve for x
    x = 19,509,606,313,024/2,853,824
  6. Step 6: Final answer
    x = 6,836,303.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.