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Finding the Third Proportional to 1,051,947 and 2,283,228

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Solution

The third proportional to 1,051,947 and 2,283,228 is: 4,955,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,947 : 2,283,228 = 2,283,228 : x
  2. Step 2: Convert to fraction form
    1,051,947/2,283,228 = 2,283,228/x
  3. Step 3: Cross multiply
    1,051,947x = 2,283,228 × 2,283,228
  4. Step 4: Simplify right side
    1,051,947x = 5,213,130,099,984
  5. Step 5: Solve for x
    x = 5,213,130,099,984/1,051,947
  6. Step 6: Final answer
    x = 4,955,696.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.