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Finding the Third Proportional to 2,824,896 and 3,627,072

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Solution

The third proportional to 2,824,896 and 3,627,072 is: 4,657,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824,896 : 3,627,072 = 3,627,072 : x
  2. Step 2: Convert to fraction form
    2,824,896/3,627,072 = 3,627,072/x
  3. Step 3: Cross multiply
    2,824,896x = 3,627,072 × 3,627,072
  4. Step 4: Simplify right side
    2,824,896x = 13,155,651,293,184
  5. Step 5: Solve for x
    x = 13,155,651,293,184/2,824,896
  6. Step 6: Final answer
    x = 4,657,039.16

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.